Question

A and B are vertical angles. If m A = (4x + 8)° and m B = (2x + 28)°,

then find the value of x.

Answer 1

x = 10

Explanation:

By the Vertical Angles Theorem that states the vertical angles are congruent.

4x+8 = 2x + 28

-8 -8

-----------------------

4x = 2x + 20

-2x -2x

-------------------------

2x = 20

/2 /2

--------------------------

x = 10

Answer 2

`(4x + 8) = (2x + 28) \\ \\ 4x + 8 = 2x + 28 \\ \\ 4x - 2x = 28 - 8 \\ \\ 2x = 20 \\ \\ x = (20)/(2) \\ \\ x = 10`

Vertical angel are always Equal ( = )