Question

if angle 1 is equal to angle 2 , find the value of y

Answer 1

An. 1 = An. 2
4x = 60
x = 60/4 = 15
x = 15

now,
An. 4 = An. 1 (vertically opposite angles)
x+2y = 60 (An. 2 = An. 1)
15+2y = 60
2y = 45
y = 22.5

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Answer 2

Given that ∠1 = ∠2

⇒ 4x = 60

⇒ x = 60 ÷ 4

⇒ x = 15°

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∠4 = ∠1 (Vertically opposite)

x + 2y = 4x

We have found that x = 15

⇒ 15 + 2y = 4(15)

⇒ 15 + 2y = 60

⇒ 2y = 35

⇒ y = 22.5

Answer: x = 15 and y = 22.5