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What is the measure of an angle that is one fourth as large as its supplement.
Step 1. Supplementary angles means two angles add up to 180 degrees.
Step 2. Let x be the angle.
Step 3. Let 180-x be the supplementary angle.
Step 4. Then
since the measure of an angle that is one fourth as large as its supplement.
Step 5. Solving the equation in Step 4 yields the following steps.
Multiply 4 to both sides to get rid of the denominator
Add x to both sides of the equation
Divide 5 to both sides of the equation
where 36 is one-fourth of 144.
Step 6. ANSWER: The angle is 36 degrees.
I hope the above steps were helpful.
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