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.