SOLUTION: If the complement of an angle is 15� less than one-sixth of its supplement, find the measure of the angle

Question 156784: If the complement of an angle is 15� less than one-sixth of its supplement, find the measure of the angle
Answer by phd(3) (Show Source): You can put this solution on YOUR website!
Complementary angles make a right angle (90 degrees)
Supplementary angles make a straight line (180 degrees)
If the angle that we are looking for is "a" then the complement of a plus a would equal 90 degrees and 90-a would be equal to the complement. Similarly the supplement of a would be equal to 180 - a. We can write the problem as an equation . Then solve for a.
Combine 90 and 15
Multiply by 6 to get rid of the fraction
Add 6a to both sides
Subtract 180 from both sides
Divide both sides by 5
To check: The complement of 90 is 0 and the supplement of 90 is 90. Then 1/6 of the supplement is 15. 0 is 15 less than 15.
RELATED QUESTIONS
If the complement of an angle is 5 degree less than one-sixth of its supplement, find the (answered by stanbon)

If the complement of an angle is 5degrees less than one-sixth of its supplement. Find... (answered by stanbon)

If the complement of an angle is 5 degrees less than one-sixth of its supplement, find... (answered by stanbon)

If the complement of an angle is 5� less than one-sixth of its supplement, find the... (answered by Earlsdon)

If the complement of an angle is 50 degrees less than one-sixth of its supplement, find... (answered by RAY100)

If the complement of an angle is 5 degrees less than one-sixth of its supplement, find... (answered by drj)

find the measure of an angle whose complement is 25 less than half of its... (answered by mananth)

The complement of an angle measures 10 less than one-fifth of its supplement. Find the... (answered by nerdybill)

If the complement of an angle is 2� less than one-third of its supplement, find the... (answered by Fombitz)