in a diagram of a bridge , m angle 1 = 87. If angle 1 and angle 3 are verttical angles, and angle 2 and angle 3 are suplementary, what equation can you write to solve for the value for the value of m angle 2? Let m angle 2 = x

Answers:

A. x= 90 - 87

B. x+ 87 = 90

C. x= 87

D. x + 87 = 180

D. x + 87 = 180

explenation?

In the diagram, we are given that angle 1 and angle 3 are vertical angles, so they are equal to each other (m angle 1 = m angle 3 = 87).

We are also given that angle 2 and angle 3 are supplementary angles, which means they add up to 180 degrees. So, the equation to represent this relationship is:

m angle 2 + m angle 3 = 180

Substitute the values we know into the equation:

x + 87 = 180

Therefore, the correct equation to solve for the value of x (m angle 2) is x + 87 = 180. So, the answer is D.