Question

Find the measure of an angle which measures thrice than its supplement​

Answer 1

Answer:

Right Answer is:

x=45 degrees for the smaller angle. 180-45=135 degrees for the larger angle.

It will help you

Answer 2

Answer :-

The supplement angles are 45° and 135°.

Step-by-step Explanation

To Find :-

• The measure of the angles which measures thrice than it's supplement.

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★ Solution

Given that,

An angle measures thrice than it's supplement.

ㅤㅤㅤㅤㅤㅤAssumption

Let us assume one angle as "(x)°" and the other angle which is thrice than it's supplementas "(3x)°".

As we know that,

The sum of two supplementary angles measures 180°.

Therefore,

• 3x + x = 180°

→ 3x + x = 180

→ 4x = 180

→ x = 180/4

→ x = 45

We got the value of x as 45.

The angles are :-

• (x)° = 45°
• (3x)° = 3*45 = 135°

Hence,

The angles are 45° and 135°.

ㅤㅤ___________________________

Verification

• 3x + x = 180

We have,

LHS = 3x + x & RHS = 180

By putting the value of "x" and "3x" on LHS and simplifying,

→ 3x + x

On simplifying,

→ 3x + x

→ 135 + 45

→ 180

Now, LHS = RHS = 180

Hence, Verified!