Question

In the given figure if x:y=2:3,find the value of x and y.

Answer 1

Let the ratio be ( 2a and 3a )

We know, sum of all angles on a straight line = 180

2a + 3a =180

5a = 180

a = 180/5

a = 36

Hence,

x = 2(a)

= 2(36)

= 72

y = 3(a)

= 3(36)

= 108

Answer 2

The value of x and y is 72° and 108° respectively.

Given:

x:y=2:3

To Find:

The value of x and y.

Solution:

We are required to find the value of x and y.

We are given that x:y = 2:3

By introducing constant k in the x and y ratio

⇒ x/y = 2k/3k

x = 2k ----(1)

y = 3k ----(2)

The two angles x and y are supplementary angles and the formula of supplementary angle is given as

⇒ x + y = 180°  -----(3)

Substitute the values of x and y in equation(3) we get

2k+3k = 180°

5k = 180°

k = 180/5

k = 36

Now substitute the value of k in equation(1) and equation(2)

x = 2×36

x = 72°

y = 3×36

y = 108°

Therefore, The value of x and y is 72° and 108° respectively.

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