SOLUTION: A pentagon has two right angles, two obtuse angles that are congruent, and a fifth angle that measures 40 degrees less than twice the measure of one of the obtuse angles. What is t

Question 388921: A pentagon has two right angles, two obtuse angles that are congruent, and a fifth angle that measures 40 degrees less than twice the measure of one of the obtuse angles. What is the measure of the fifth angle?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Suppose the angles are 90, 90, x, x, and 2x-40, where x>90. The sum of the angles is 540 degrees, so

90 + 90 + x + x + (2x-40) = 540

4x + 140 = 540

x = 100

So, the fifth angle is 2(100) - 40 = 160 degrees.

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