SOLUTION: Angle 1 and Angle 2 are supplementary angles. If Angle 1 measures 4x + 2 degrees and Angle 2 measures 5x - 11 degrees, what is the measure of angle 2?

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Question 1013917: Angle 1 and Angle 2 are supplementary angles. If Angle 1 measures 4x + 2 degrees and Angle 2 measures 5x - 11 degrees, what is the measure of angle 2?
Answer by ikleyn(52782) About Me  (Show Source):
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Angle 1 and Angle 2 are supplementary angles. If Angle 1 measures 4x + 2 degrees and Angle 2 measures 5x - 11 degrees, what is the measure of angle 2?
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Since the angles A1 and A2 are supplementary, the sum of their measures is 180°.

It gives you an equation

(4x + 2) + (5x - 11) = 180,

9x - 9 = 180,

9x = 180 + 9 = 189,

x = 189%2F9 = 21.

Therefore, the measure of the Angle 2 is 5x - 11 = 5*21 - 11 = 105 - 11 = 94°.

Answer. The measure of the Angle 2 is 94°.