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An angle measures 60° more than the measure of its supplementary angle. What is the measure of each angle?

User Mockobject
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1 Answer

6 votes

Answer:

The angles are 60° and 120°.

Explanation:

"supplementary" means that the two angles add up to 180°.

One angle can be x.

The other angle can be x+60° bc its 60° more.

Write an equation.

x + x + 60 = 180

combine like terms.

2x + 60 = 180

subtract 60

2x = 120

divide by 2

x = 60.

Since x = 60, one angle is 60° and the other is 120° (that's 60° more) and they are supplementary.

60° + 120° = 180°

The angles are 60° and 120°.

User Jigar Tank
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