Math Equation #9

Question

a and b are vertical angles if A=(7x-6°) and B=(8x-27)° find the measure of B

Answer 1

7x -6 + 8x -27 = 90

15x = 90+27+6 = 123

x = 123/15 = 41/5 = 8.2

B = 8x-27 = 8(8.2)-27 = 65.6-27 = 38.6 degrees

A= 51.4 degrees, C = 90 degrees