ABCD is a trapezium. If ∠A : ∠D = 5 : 7 . Find the measure of angles A and D.
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the rate of angle A : angle D = 5 : 7
Let , the angle A = 5x
and the angle D = 7x
Let , angle A + angle D = 180° ( sum of adjacent angle of trapezium )
5x + 7x = 180°
12 x = 180 °
x = 15°
so ,
angle A : 5 x ⇒ 5 × 15 = 75°
angle D : 7x ⇒ 7 × 15 = 105 °
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