Question

if the outer angle is 20 more than thrice the inner angle what is the measure of the inner angle ​

Answer 1

Step-by-step explanation:

Given:-

The outer angle is 20 more than thrice the inner angle

To find:-

What is the measure of the inner angle?

Solution:-

Let the inner angle be X°

Then the outer angle = 20 more than thrice the inner angle

=> (3X+20)°

We know that

The sum of the inner and outer angle is 180°

Since they are adjacent angles and they are linear pair.

=> Inner angle + Outer angle = 180°

=>X°+ (3X+20)° = 180°

=> X° + 3X° +20° = 180°

=> 4X° +20° = 180°

=> 4X° = 180° -20°

=> 4X° = 160°

=> X° = 160°/4

=>X° = 40°

Inner angle = 40°

Outer angle = 3×40°+20° = 120°+20°=140°

Answer:-

The measure of the inner angle for the given problem is 40°

Used formulae:-

The sum of the adjacent angles is 180° then they are linear pair.

Answer 2

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