Two angles of a quadrilateral are 72° and 56° respectively and the remaining two angles are in the ratio 3:5 . Find the measure of each angle of the quadrilateral.

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Solution

Angle 1 = 72°
Angle 2 = 56°
Angle 3 = 3x
Angle 4 = 5x

We know that sum of all angles of a quadrilateral is 360°
72° + 56° + 3x + 5x = 360°
8x = 360° - 128°
8x = 232°
x = 29°

Angle 1 = 72°
Angle 2 = 56°

Angle 3 = 3x = 87°
Angle 4 = 5x = 145°

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