Question

Quadrilateral ABCD is a rectangle. Find each measure if m<2 = 40.

Answer 1

In a rectangle, opposite angles are congruent. Angle 2 and angle 4 are both 40 degrees, and angle 3 is 140 degrees.

Step-by-step explanation:

In a rectangle, opposite angles are congruent.

Angle 2 is opposite to angle 4, so m<4 = m<2 = 40.

Also, in a rectangle, adjacent angles are supplementary. Angle 2 and angle 3 are adjacent, so their measures must add up to 180 degrees. Let m<3 = x.

40 + x = 180

x = 180 - 40

x = 140

Therefore, m<2 = m<4 = 40 degrees and m<3 = 140 degrees.