Respuesta :

Answer:

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,

[tex]4x[/tex]

Larger angle and smaller angle are a linear pair.

Therefore we get,

[tex]x+4x=180[/tex][tex]5x=180[/tex][tex]x=36\degree[/tex]

Larger angle is,

[tex]4x=4\times36=144[/tex]

The larger angle is 144 degrees.