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Quadrilateral Angle Relationships — Easy Worksheet 1
Grade 10 · Whoobee Name: ____________________ Date: __________
Find the missing angle.
How to solve
In a parallelogram, consecutive angles add to 180°, so subtract the known angle from 180°, and opposite angles are equal. In any quadrilateral the four angles add to 360°, so subtract the three known angles from 360°.
Example
In parallelogram ABCD, angle A measures 133°. Angle A and angle B are consecutive angles. Find the measure of angle B.
Answer: 47°
Not quite. The answer is
💡 Consecutive angles of a parallelogram are supplementary, so they add to 180°. Angle B = 180° − 75° = 105°.
✓ Correct!
Not quite. The answer is
💡 Consecutive angles of a parallelogram are supplementary, so they add to 180°. Angle B = 180° − 75° = 105°.
💡 How to solve: Quadrilateral Angle Relationships
In a parallelogram, consecutive angles add to 180°, so subtract the known angle from 180°, and opposite angles are equal. In any quadrilateral the four angles add to 360°, so subtract the three known angles from 360°.
Try a similar one
In parallelogram ABCD, angle A measures 110°. Angle A and angle B are consecutive angles. Find the measure of angle B.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Opposite angles of a parallelogram are congruent. Angle C = angle A = 37°.
✓ Correct!
Not quite. The answer is
💡 Opposite angles of a parallelogram are congruent. Angle C = angle A = 37°.
💡 How to solve: Quadrilateral Angle Relationships
In a parallelogram, consecutive angles add to 180°, so subtract the known angle from 180°, and opposite angles are equal. In any quadrilateral the four angles add to 360°, so subtract the three known angles from 360°.
Try a similar one
In parallelogram ABCD, angle A measures 16°. Angle A and angle B are consecutive angles. Find the measure of angle B.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The angles of a quadrilateral add to 360°. Add the three known angles: 108° + 84° + 56° = 248°. Then 360° − 248° = 112°. The fourth angle is 112°.
✓ Correct!
Not quite. The answer is
💡 The angles of a quadrilateral add to 360°. Add the three known angles: 108° + 84° + 56° = 248°. Then 360° − 248° = 112°. The fourth angle is 112°.
💡 How to solve: Quadrilateral Angle Relationships
In a parallelogram, consecutive angles add to 180°, so subtract the known angle from 180°, and opposite angles are equal. In any quadrilateral the four angles add to 360°, so subtract the three known angles from 360°.
Try a similar one
In parallelogram ABCD, angle A measures 83°. Angle A and angle B are consecutive angles. Find the measure of angle B.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Consecutive angles of a parallelogram are supplementary, so they add to 180°. Angle B = 180° − 93° = 87°.
✓ Correct!
Not quite. The answer is
💡 Consecutive angles of a parallelogram are supplementary, so they add to 180°. Angle B = 180° − 93° = 87°.
💡 How to solve: Quadrilateral Angle Relationships
In a parallelogram, consecutive angles add to 180°, so subtract the known angle from 180°, and opposite angles are equal. In any quadrilateral the four angles add to 360°, so subtract the three known angles from 360°.
Try a similar one
In parallelogram ABCD, angle A measures 115°. Angle A and angle B are consecutive angles. Find the measure of angle B.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Opposite angles of a parallelogram are congruent. Angle C = angle A = 108°.
✓ Correct!
Not quite. The answer is
💡 Opposite angles of a parallelogram are congruent. Angle C = angle A = 108°.
💡 How to solve: Quadrilateral Angle Relationships
In a parallelogram, consecutive angles add to 180°, so subtract the known angle from 180°, and opposite angles are equal. In any quadrilateral the four angles add to 360°, so subtract the three known angles from 360°.
Try a similar one
In parallelogram ABCD, angle A measures 33°. Angle A and angle B are consecutive angles. Find the measure of angle B.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The angles of a quadrilateral add to 360°. Add the three known angles: 70° + 90° + 99° = 259°. Then 360° − 259° = 101°. The fourth angle is 101°.
✓ Correct!
Not quite. The answer is
💡 The angles of a quadrilateral add to 360°. Add the three known angles: 70° + 90° + 99° = 259°. Then 360° − 259° = 101°. The fourth angle is 101°.
💡 How to solve: Quadrilateral Angle Relationships
In a parallelogram, consecutive angles add to 180°, so subtract the known angle from 180°, and opposite angles are equal. In any quadrilateral the four angles add to 360°, so subtract the three known angles from 360°.
Try a similar one
In parallelogram ABCD, angle A measures 39°. Angle A and angle B are consecutive angles. Find the measure of angle B.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Consecutive angles of a parallelogram are supplementary, so they add to 180°. Angle B = 180° − 137° = 43°.
✓ Correct!
Not quite. The answer is
💡 Consecutive angles of a parallelogram are supplementary, so they add to 180°. Angle B = 180° − 137° = 43°.
💡 How to solve: Quadrilateral Angle Relationships
In a parallelogram, consecutive angles add to 180°, so subtract the known angle from 180°, and opposite angles are equal. In any quadrilateral the four angles add to 360°, so subtract the three known angles from 360°.
Try a similar one
In parallelogram ABCD, angle A measures 86°. Angle A and angle B are consecutive angles. Find the measure of angle B.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Opposite angles of a parallelogram are congruent. Angle C = angle A = 58°.
✓ Correct!
Not quite. The answer is
💡 Opposite angles of a parallelogram are congruent. Angle C = angle A = 58°.
💡 How to solve: Quadrilateral Angle Relationships
In a parallelogram, consecutive angles add to 180°, so subtract the known angle from 180°, and opposite angles are equal. In any quadrilateral the four angles add to 360°, so subtract the three known angles from 360°.
Try a similar one
In parallelogram ABCD, angle A measures 120°. Angle A and angle B are consecutive angles. Find the measure of angle B.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Quadrilateral Angle Relationships — Easy Worksheet 1
Find the missing angle.