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96 degrees

Let theta represent the measure of the angle we are trying to find and theta' represent the measure of its supplement. From the problem, we know:

theta=theta'+12

Because supplementary angles sum to 180 degrees, we also know:

theta+theta'=180

Substituting the value from theta in the first equation into the second, we get:

(theta'+12)+theta'=180

2*theta'+12=180

2*theta'=180-12=168

theta'=168/2=84

Substituting this value for theta' back into the first equation, we get:

theta+84=180

theta=180-84=96

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15y ago

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Anonymous

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Q: An angle is 12 degrees more than its supplement Find the angle?
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