Two angles, <1 and <2, in a diagram are supplementary. if m<1 = 77 , what equation can you write to solve for m<2? let m<2 = x (1 point)

Question

A. x = 90 - 77
B. x = 77
C. x + 77 = 90
D. x + 77 = 180

Answer 1

Since angles <1 and <2 are supplementary, their measures add up to 180 degrees. Given that \( m\angle 1 = 77 \), we can express \( m\angle 2 = x \) in terms of an equation.

The correct equation to write is:

D. \( x + 77 = 180 \)

This equation states that the measure of angle <2 (x) plus the measure of angle <1 (77) equals 180 degrees, which is the definition of supplementary angles.