three angles of a quadrilateral are in the ratio 2 : 3 :5 and The Fourth angle is 90 degree find the measure of the other three angles.
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Answer:
2:3:5 = 50:75:125
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Here is your answer mate:
according to the condition,
angle A : angle B : angle C = 2 : 3 : 5
thus angle A = 2x, angle B = 3x and angle C = 5x
also given that angle D = 90
in quadrilateral ABCD, by angle sum property,
angle A + angle B + angle C + angle D = 360
2x + 3x + 5x + 90 = 360
10x + 90 = 360
10x = 270
x = 27 degrees
therefore,
angle A = 2x = 54 degrees
angle B = 3x = 91 degrees
angle C = 5x = 135 degrees
hope this answer helps you buddy,
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