The measure of two vertical angles are #6x- 22# and #4x+ 2#. What is #x#?

1 Answer
vanessa
Jun 11, 2017

x=12.

Explanation:

Since vertical angles have the same measure, we can set them equal to each other and solve.
#6x-22=4x+2#
Move the variables to one side and the constants to the other.
#2x=24#
Divide to find x.
#x=12#

If you want to find the angle measures or check the answer, plug in x.
#6(12)-22="measure of "angle 1#
#72-22="measure of "angle 1#
#50="measure of "angle 1#

#4(12)+2="measure of "angle 2#
#48+2="measure of "angle 2#
#50="measure of "angle 2#

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