Question

Help please!

angle A and angle B are vertical angles. If m angle A=(5x+63)^ and m angle B=(x+37)^ . then what is the value of x?

Answer 1

Vertical Angles are congruent, therefore,

1. m∠A = m∠B
2. (5x+63)° = (x+37)°
3. 4x = -26
4. x = -13/2

Answer 2

Since angle A and angle B are vertical angles, they are congruent. Therefore:

m angle A = m angle B

(5x + 63)^ = (x + 37)^

Taking the square root of both sides:

5x + 63 = x + 37

4x = -26

x = -6.5

Therefore, the value of x is -6.5.