If the measure of angle one is 2x minus 9 and the measure of angle 2 is 27 minus 4x. solve for x

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If the measure of angle one is 2 minus nine and the measure of angle 2 is 27 minus 4x. solve for x
If the measure of angle one is 2x minus 9 and the measure of angle 2 is 27 minus 4x. solve for x

You haven't told us the relationship between the two angles. Do they add up to 90 degrees?
Do they add up to 180 degrees? Is there some other relationship?

Possibility one:
(2x - 9) + (27 - 4x) = 90
2x - 4x - 9 + 27 = 90
-2x + 18 = 90
-2x = 72
x = -36
A negative angle is measured clockwise from the x axis, that is, sweeping downward
around the origin.
Check:
(2x - 9) + (27 - 4x) = 90
(2(-36) - 9) + (27 - 4(-36)) = 90
(-72 - 9) + (27 + 144) = 90
-81 + 171 = 90
90 = 90

Possibility two:
(2x - 9) + (27 - 4x) = 180
2x - 4x - 9 + 27 = 180
-2x + 18 = 180
-2x = 162
x = -81
Check:
(2x - 9) + (27 - 4x) = 180
(2(-81) - 9) + (27 - 4(-81)) = 180
(-162 - 9) + (27 + 324) = 180
-171 + 351 = 180
180 = 180

We need more information.
by Level 11 User (78.4k points)

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