Question

Given that A and B are vertical angles, and m/A = 2x+5 and
m/B=9x-14, what is the value of x?

Answer 1

x = 2
`(5)/(7)`

Explanation:

vertical angles are equal (congruent)

therefore you can write this equation to solve for 'x':

2x+5 = 9x-14

combine 'like terms'; i will subtract 2x from each side

5 = 7x-14

now if will add 14 to each side

19 = 7x

x = 19/7 or 2
`(5)/(7)` x