Properties of Angles in Parallelograms

The video tutorial explains how to find unknown angles in different parallelograms. It covers three examples: ABCD, PQRS, and MNOP. For each figure, the tutorial demonstrates how to use the properties of parallelograms and the sum of angles to calculate the unknown angles. The key concept is that the sum of angles in a parallelogram is 180°, and this principle is applied to find the missing angles.

What is the sum of angles between parallel lines?

• 180°

• 90°

• 270°

• 360°

In a parallelogram, if one angle is 85°, what is the measure of its adjacent angle?

• 85°

• 95°

• 180°

• 100°

If angle A in parallelogram ABCD is 85°, what is angle W?

• 75°

• 105°

• 95°

• 85°

If angle A in a parallelogram is 85°, what is the measure of angle C?

• 180°

• 100°

• 85°

• 95°

In parallelogram ABCD, if angle B is 95°, what is angle D?

• 95°

• 100°

• 85°

• 180°

In parallelogram PQRS, if one angle is 135°, what is the measure of the opposite angle?

• 45°

• 135°

• 90°

• 180°

What is the measure of angle X in parallelogram PQRS if one angle is 135°?

• 45°

• 135°

• 90°

• 180°

What is the measure of angle Y in parallelogram PQRS if angle X is 45°?

• 180°

• 90°

• 45°

• 135°

In parallelogram MNOP, if MO is a straight line, what is the sum of angles M, N, and O?

• 90°

• 360°

• 270°

• 180°

If angles M and N in parallelogram MNOP are 72° and 51° respectively, what is angle S?

• 60°

• 51°

• 57°

• 72°