Question

Triangle BCD~ Triangle SQR. What Is Angle S?

Answer 1

Answer: The measure of angle S is 62 degrees.

There are 2 ways to find the answer. 

First, the triangles are similar. That means that all the angles will be the same. Since, angle S is corresponding to angle B, it will have the same measure.

Second, there are always 180 degrees in a triangle. Therefore, we can write and solve the following equation about the angles in triangle SQR.

x + 41 + 77 = 180
x + 118 = 180 
x = 62