Question

An angle is 80 degree less than three times its supplementary the angle is

Answer 1

Given:

An angle is 80° less than three times it's supplementary

To find:

The angle

Solution:

$\boxed{\bold{Supplementary\:Angles }}$ :- When two angles add up to give 180° then they are known as supplementary pair of angles.

So,

If we assume "x°" as the angle then "(180 - x)°" will be its supplement.

According to the question, we can form an equation as,

$x\° = 3(180 - x)\° - 80\°$

$\implies x\° = 540\° - 3x\° - 80\°$

 $\implies x\° + 3x\°= 540\° - 80\°$

$\implies 4x\° = 460\°$

$\implies x\° = \frac{460\°}{4}$

$\implies \bold{x\° = 115\°}$

Thus, the angle is 115°.

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