# The measures of the angles of a triangle are in the ratio 5:6:7. What is the measure, in degrees, of the smallest angle of the triangle?

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Let ( x ) be the common multiplier for the ratio 5:6:7. Therefore, the measures of the angles are ( 5x ), ( 6x ), and ( 7x ).

Since the angles of a triangle sum up to 180 degrees, we have:

[ 5x + 6x + 7x = 180 ]

[ 18x = 180 ]

[ x = \frac{180}{18} = 10 ]

So, the smallest angle of the triangle is ( 5x = 5 \times 10 = 50 ) degrees.

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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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