Question

The value of x + y + z is
the adjoining figure is​

Answer 1

Answer:

Step-by-step explanation:

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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