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Question

Two angles of a quadrilateral are of 900 each. The 3rd and 4th angle are in two ratio 2:3. Find the measure of 3rd and 4th angle.

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Solution

Dear Student,

The sum of four angles of a quadrilateral is 360°. Two angles are 90° each. Let the other two angles be 2x and 3x.Then, 90 + 90 + 2x + 3x = 360 180 + 5x = 360 5x = 180 x = 36°So, 2x = 2 × 36 = 72° and 3x = 3 × 36° = 108°.Thus, the measure of the other two angles are 72° and 108°.

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