Question

If one angle of a quadrilateral is 60 degrees and the opposite sides are parallel, find the other angle.

A. 30 degrees
B. 60 degrees
C. 90 degrees
D. 120 degrees

Answer 1

The measure of the other angle is 240 degrees.

Step-by-step explanation:

Since opposite sides of the quadrilateral are parallel, we know that the opposite angles are congruent. Therefore, if one angle is 60 degrees, the opposite angle is also 60 degrees. The sum of the interior angles of a quadrilateral is always equal to 360 degrees. So, to find the measure of the other two angles, we subtract the given angle and its opposite from 360.

360 - 60 - 60 = 240 degrees

Therefore, the measure of the other angle is 240 degrees.