If the interior angle of point A in this parallelogram measures 155 degrees, what is the interior angle measure of point C?

(1 point)
The measure of angle C is (how many) degrees?

1 answer

In a parallelogram, opposite angles are equal and consecutive angles are supplementary (i.e., they add up to 180 degrees).

Since you have the measure of angle A as 155 degrees, angle C (the opposite angle) will also be 155 degrees.

To find the measure of angle B (the consecutive angle to angle A), you can use the supplementary property:

Angle A + Angle B = 180 degrees 155 degrees + Angle B = 180 degrees Angle B = 180 degrees - 155 degrees Angle B = 25 degrees

Since angle C is opposite to angle A, angle C will also measure 155 degrees.

Therefore, the measure of angle C is 155 degrees.