Question

In the diagram below the larger angle is four times bigger than the smaller angle find the larger angle

Answer 1

Given that,

In the diagram below the larger angle is four times bigger than the smaller angle

To find the larger angle.

Let x be smaller angle.

Then we get,

Larger angle is,

`4x`

Larger angle and smaller angle are a linear pair.

Therefore we get,

`x+4x=180`
`5x=180`
`x=36\degree`

Larger angle is,

`4x=4*36=144`

The larger angle is 144 degrees.