Question

Find the measure of an angle if it is twice as large as its supplement.

Answer 1

Answer:

120⁰

Step-by-step explanation:

Angle = x

Supplement = 180 - x

Given:

x = 2 (180 - x)

x = 360 - 2x

3x = 360

x = 120⁰

Answer 2

The measure of the angle is 120 degrees.

What is known as the supplement of an angle?

'Two angles are said to be supplementary angles if they add up to 180 degrees.'

According to the given problem,

Let the angle be a,

The supplement angle of ∠a = ( 180 - a )°

Following equation from the given problem,

⇒ a = 2( 180 - a )°

⇒ a = 360 - 2a

⇒ a + 2a = 360

⇒ 3a = 360

⇒ a = $\frac{360}{3}$

⇒ a = 120°

Supplement angle a = (180 - 120)°

                                  = 60°

Hence, we can conclude, the measure of the angle is 120°

Learn more about supplement of an angle here: https://brainly.com/question/13303509

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