two angles of a quadrilateral are in 72 degree and 56 degree respectively and the remaining two angles are in ratio 3 ratio 5 find the measure of each of the quadrilateral
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Let the other angles be 3x and 5x.
The sum of the interior angles = ( n - 2 ) × 180°, where n is the no. of sides
According to the question,
72 + 56 + 3x + 5x = ( 4 - 2 ) × 180°
128 + 8x = 2 × 180°
8x = 360 - 128
8x = 232
x = 232 ÷ 8
x = 29°
Therefore, the angles are 3x = 3 × 29 = 87°
5x = 5 × 29 = 145°
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