Question

Angle S and angle T are congruent. Angle S measures 2x + 5 and angle T measures 5x – 25. What is the measure of angle S?

Answer 1

x is 10 so 2(10)+5 is 25 degrees for angle S

Answer 2

Since the two angles are congruent, then 2x+5 and 5x-25 must be equal.

2x+5=5x-25
-3x+5=-25
-3x=-30
x=10

Now we can plug in x=10 into the expression for angle S:
2x+5 --> 2(10)+5 = 25

The measure of angle S is 25 degrees.