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Oxana [17]
3 years ago
6

An angle measures 73.6° less than the measure of its supplementary angle. What is the measure of each angle?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

Smaller angle = 53.2

Larger angle = 126.8

Step-by-step explanation:

Lets say x is the measure of the supplement. Since we know they're supplementary, we know their angle measure sum will equal 180. We can set up our equation like this x + (x-73.6) = 180. Note: (x - 73.6) is the measure of the smaller angle. By solving, we get 126.8 degrees for the measure of the supplement. If we plug in the value of x into (x-73.6), we get 53.2 degrees as the angle measure of the smaller angle.

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Answer:

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Step-by-step explanation:

Two angles are supplements of one another if their sum is 180^{\circ}.

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Let x^{\circ} be the measure of the angle in question.

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