Question

find the angle which is thrice of its supplement

Answer 1

x+3x=180
4x=180
x=180/4
x=45 degrees for the smaller angle.
180-45=135 degrees for the larger angle.
Proof:
45+3*45=180
45+135=180
180=180 

Answer 2

Answer:

Step-by-step explanation:

Concept:

Basic concept of triangles will help to solve this question.

Given:

The supplement is tripled by the angle.

To Find:

We need to find the angle which is thrice of its supplement.

Solution :

Subtract the specified angle from $180$ to get the supplement.

Let's say the two necessary angles are $x$ and $3x$.

So the expression will be $x+3x=180$ .

By doing sum we get $4x=180$ .

The value of $x$ is $45$ .

$180^{\circ }$ is the angle which is thrice of its supplement.

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