SOLUTION: what is the measure of an angle is 28 degree more than the complement. find the measure of each angle

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Question 226646: what is the measure of an angle is 28 degree more than the complement. find the measure of each angle
Answer by drj(1380) About Me  (Show Source):
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What is the measure of an angle is 28 degree more than the complement. find the measure of each angle.

Step 1. Let x be angle.

Step 2. Let 90-x be the complement of its angle.

Step 3. Then, x=90-x+28 since the measure of an angle is 28 degrees more than the complement.

Step 4. Solving equation in Step 3 yields the following steps

x=62-x

Add x to both sides of the equation

x%2Bx=62-x%2Bx

2x=62

Divide by 2 to both sides of the equation

2x%2F2=62%2F2

x=31 Then x%2B28=59. Note the sum is 90 degrees.

Step 5. ANSWER: The angles are 31 and 59 degrees.

I hope the above steps were helpful.

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Respectfully,
Dr J
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