SOLUTION: The complement of an angle is 24 degrees greater than twice the angle. Write and solve an equation that represents this situation. Find the measure of the complement.

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Question 1196521: The complement of an angle is 24 degrees greater than
twice the angle. Write and solve an equation
that represents this situation. Find the measure
of the complement.

Found 3 solutions by josgarithmetic, ewatrrr, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Follow what the description literally says.

90-x=24%2B2x
.
.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

The complement of an angle is 24 degrees greater than
twice the angle 'x'
Problem States:
(2x + 24°) + x = 90°   |Complimentary Angles
3x = 66°
x = 22° 
The complement 90°-22° = 68°
Wish You the Best in your Studies.


Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
The complement of an angle is 24 degrees greater than twice the angle. Write and solve an equation that represents this situation. Find the measure of the complement.
Welcome BACK, tutor @ewatrrr. I haven't seen you in a while. I guess you may'ne been vacationing!

Let complement be C
Then angle = 90 - C
We then get: C = 2(90 - C) + 24
C = 180 - 2C + 24 
C + 2C = 180 + 24
3C = 204
Measure of complement, or highlight_green%28matrix%281%2C5%2C+C%2C+%22=%22%2C+204%2F3%2C+%22=%22%2C+68%5Eo%29%29

**BTW....The other person's equation will NOT get you the complement's measure, so BEWARE!