Question

In the adjoining figure if AB is parallel to CD find X and y if y is a complement of 3x​

Answer 1

Answer:

x = 20ᵒ, y = 30ᵒ

Step-by-step explanation:

Given: AB || CD

           3x + y = 90ᵒ

Answer) Now,

3x + y = 90ᵒ  (Given) ------------------(1)

y = 90ᵒ - 3x

As AB || CD, the corresponding angles will be equal.

Therefore, the angle beside 4y on CD will be equal to 3x as 3x is corresponding to that angle.

Now,

4y + 3x = 180ᵒ  (Linear Pair)  ------------(2)

By substituting the value of y in equation (2)

4(90ᵒ - 3x) + 3x = 180ᵒ

360ᵒ - 12x + 3x = 180ᵒ

-9x = 180ᵒ - 360ᵒ

-9x = -180ᵒ

9x = 180ᵒ

x = 180/9

x = 20ᵒ

Now, putting value of x in equation(1)

3x + y = 90ᵒ

3(20) + y = 90ᵒ

60ᵒ + y = 90ᵒ

y = 90ᵒ - 60ᵒ

y = 30ᵒ

Hope it helps.

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