# Two angles are supplementary. One is 60 degrees more than three times the other. What are the measures of the angles?

Let ( x ) represent the measure of one angle.

The other angle, which is supplementary, has a measure of ( 180^\circ - x ).

According to the given information, one angle is 60 degrees more than three times the other. Therefore, we have the equation:

[ x = 3(180^\circ - x) + 60 ]

Solving this equation yields:

[ x = 3(180^\circ - x) + 60 ] [ x = 540^\circ - 3x + 60 ] [ x = 600^\circ - 3x ] [ 4x = 600^\circ ] [ x = 150^\circ ]

So, one angle measures ( 150^\circ ) and the other supplementary angle measures ( 180^\circ - 150^\circ = 30^\circ ).

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The first angle's measure would be

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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