Two angles of a quadrilateral are respectively 70° and 80°. The other two angles are equal in measure. Find the measure of the other two angles.
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Answer. here sum of all angle of quadrilateral is equal to 360. hence other two angles are 105 .
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If the other two angles are equal in measure
Let the two angles be x and x
⇒ 70° + 80° + x + x = 360°
⇒ 150° + 2x = 360°
⇒ 2x = 360 - 150
⇒ x =
⇒ x = 105°
Hence, the other two angles of the given quadrilateral are 105° and 105°
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