5. The four angles of a quadrilateral are equal. Find the measure of each angle.
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Answer:
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Let the measure of each of the other two angles be . In a quadrilateral, the sum of all four angles is 360°. Therefore, each equal angle of the quadrilateral measures 80°.
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Explanation:
ABCD is a quadrilateral having all four angles equal.
Let each angle be x
We know sum of measure of all four angles of quadrilateral is 360
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∴ ∠A+∠B+∠C+∠D=360
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⇒ x+x+x+x=360
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⇒ 4x=360
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⇒ x=90
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∴ The measure of angles of quadrilaterals are 90 , 90,90,90.
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