Two angles form a linear pair. The measure of one angle is twice the measure of the other angle. Find the measure of each angle.

The smaller angle measures:
__°

The larger angle measures:
__°

Respuesta :

smaller angle= 60°
larger angle= 120°

equation
2x + x = 180°
3x = 180°
x = 60°

2x = 2 × 60 = 120°

60° + 120°= 180°

The smaller angle is 60° and the bigger angle is 120°

The sum of the angles must be equal to 180°.

Let the smaller angle be represented by x

Therefore, the bigger angle will be = (2 × x) = 2x

Therefore, the value of the angles will be:

2x + x = 180°

3x = 180°

Divide both side by 3

3x/3 = 180°/3

x = 60°

Then, 2x = 2 × 60° = 120°

Therefore, the smaller angle is 60° and the bigger angle is 120°.

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