If a ∥ b and e ∥ f, what is the value of y?

Solution:

Given,

a ∥ b, e ∥ f

y = ?

Since the lines are parallel, their opposite angles are equal.

That is,

⇒ y = 180 - (x - 3)

⇒ y = x + 1

Then, x + 1 = 180 - (x - 3)

⇒ x + 1 = 183 - x

⇒ 2x + 1 = 183

Subtract 1 from both sides,

⇒ 2x = 182

⇒ x = 182/2

⇒ x = 91

Substitute x = 1 in y = x + 1

⇒ y = 91 + 1

⇒ y = 92.

Therefore, the value of y is 92.

If a ∥ b and e ∥ f, what is the value of y?

Summary:

When a ∥ b and e ∥ f, the value of y is 92.

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