SOLUTION: In a quadrilateral, the sum of the measures of all four angles is 360 degrees. Suppose a quadrilateral has two angles that are equal. Also, the third angle is equal to the sum of t

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Question 973156: In a quadrilateral, the sum of the measures of all four angles is 360 degrees. Suppose a quadrilateral has two angles that are equal. Also, the third angle is equal to the sum of the equal angles. The fourth angle is 60 degrees less than twice the sum of the three angles. Find the measures of the angles in the quadrilateral.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the value of the measure of the two equal measure angles. Then the third angle must measure . The sum of the first three angles is then , twice this sum is , and then the fourth angle must measure

The sum of all the angles is then:



And this sum must equal 360 because this is a quadrilateral, hence:



Solve for , , and

John

My calculator said it, I believe it, that settles it

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