Question

one of the angles forming linear pair is twice the other angle find their measures​

Answer 1

Answer: 60° and 120°

Step-by-step explanation:

Let the angles be x and y

From the question,

x = 2y {equation 1}

Since angles in a linear pair are supplementary,

x + y = 180

2y + y = 180

3y = 180

y = 180/3

y = 60 {equation 2}

Substituting {2} in {1}

x = 2(60)

x = 120

Therefore, the angles are 60° and 120°

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Answer 2

Answer:

Angle 1: 60°

Angle 2: 120°

Step-by-step explanation:

Let the smaller angle be x.

Therefore, according to the given condition, the larger angle is 2x (as it is twice)

Therefore,

x + 2x = 180° (since it is a linear pair)

3x = 180°

$x = \frac{180}{3}$

Therefore, x = 60°

Substitute the value of x

Therefore, angle 1 = 60°

angle 2 = 2 (60) = 120°

Hope this helps you!