Exploring Angles in Parallelograms

What is the relationship between opposite angles in a parallelogram?

• Opposite angles in a parallelogram are always obtuse.

• Opposite angles in a parallelogram are equal.

• Opposite angles in a parallelogram are supplementary.

• Opposite angles in a parallelogram are always acute.

If one angle of a parallelogram is 70 degrees, what is the measure of the opposite angle?

• 90 degrees

• 70 degrees

• 80 degrees

• 60 degrees

Calculate the measure of an angle if its adjacent angle in a parallelogram is 110 degrees.

• 70 degrees

• 80 degrees

• 90 degrees

• 100 degrees

In a parallelogram, if one angle measures 45 degrees, what is the measure of the other angle adjacent to it?

• 135 degrees

• 90 degrees

• 180 degrees

• 60 degrees

If two angles of a parallelogram are equal, what can you conclude about the parallelogram?

• The parallelogram has no equal sides.

• The parallelogram is a rhombus.

• The parallelogram is a trapezoid.

• The parallelogram is a rectangle.

What is the sum of the interior angles of a parallelogram?

• 360 radians

• 270 degrees

• 180 degrees

• 360 degrees

If angle A is 60 degrees in parallelogram ABCD, what is the measure of angle C?

• 90 degrees

• 45 degrees

• 60 degrees

• 120 degrees

In parallelogram PQRS, if angle P is 120 degrees, what is the measure of angle Q?

• 60 degrees

• 120 degrees

• 45 degrees

• 90 degrees

If angle R measures 85 degrees, what is the measure of angle S in parallelogram RSTU?

• 90 degrees

• 75 degrees

• 85 degrees

• 100 degrees

How do you find the measure of an unknown angle in a parallelogram?

• Use the property that opposite angles are equal and adjacent angles sum to 180 degrees.

• The sum of all angles in a parallelogram is 360 degrees.

• Adjacent angles are always equal in a parallelogram.

• To find an unknown angle, subtract the known angle from 90 degrees.