LeneahK478400 LeneahK478400
  • 03-11-2022
  • Mathematics
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In the diagram below the larger angle is four times bigger than the smaller angle find the larger angle

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

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GracianaE230701 GracianaE230701
  • 03-11-2022

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.

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