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(52786) (Show Source): You can put this solution on YOUR website!
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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 = = 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°.
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