in the adjoining fugure aob is a straight line if x:y:z =6:5:4 find the calue of x, y, zn
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Jannakim:
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Given : AOB is a straight line.
Let x = 5a , y = 4a , z = 6a
∠AOE + ∠EOD + ∠BOD = 180° [By linear pair axiom ]
x + y + z = 180°
5a + 4a + 6a = 180°
15a = 180°
a = 180/15
a = 12
∠AOE = x = 5a = 5 × 12 = 60°
∠EOD = y = 4a = 4 × 12 = 48°
∠BOD = z = 6a = 6 × 12 = 72°
Hence, the value of x = 60° , y = 48° & z = 72°
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