SOLUTION: ANGLE 1 and ANGLE 2 are vertical angles. If angle measure 1 is 63 and angle measure 2 is 4x-9, what is the value of x?

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Question 914179: ANGLE 1 and ANGLE 2 are vertical angles. If angle measure 1 is 63 and angle measure 2 is 4x-9, what is the value of x?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

vertical angles are equal:
< (1) = < (2) (in fact they are congruent angles)
so, if measure of < 1 is 63° and measure of < 2 is 4x-9°, than
4x-9=63° ...solve for x
4x=63%2B9°
4x=72°
x=72%2F4°
x=18°
if x=18°, than < 2 is 4x-9=4%2A18-9=72-9=63°...it proves that < (1) = < (2) are congruent angles