SOLUTION: The measure of an angle is four less than the measure of it complement. Find the measure of the angle.

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Question 218026: The measure of an angle is four less than the measure of it complement. Find the measure of the angle.
Found 2 solutions by rfer, drjstudent:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+x-4=90
2x=94
x=47 degrees
x-4=43 degrees

Answer by drjstudent(2) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of an angle is four less than the measure of it complement. Find the measure of the angle.

Step 1. Complementary angles means two angles add up to 90 degrees.

Step 2. Let x be the angle.

Step 3. Let 90-x be its complement

Step 4. Let x=90-x-4 since the measure of an angle is four less than the measure of it complement

Step 5. Solving yields the following steps.

Add x to both sides of the equation

x%2Bx=90-x-4%2Bx

2x=96

Divide 2 to both sides of the equation

2x%2F2=86%2F2

x=43

Step 6. ANSWER: The angle is 43 degrees.

I hope the above steps were helpful.

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Dr J
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