Asked by lea
The measure of one angle is 15 degrees more than half the measure of its complement. Find the measure of the two angles.
Answers
Answered by
Henry
A = Compliment = X Deg.
B = (X/2 + 15) Deg.
The sum of complimentary angles = 90 Deg.
X + (X/2+15) = 90 Deg.
Multiply both sides by 2:
2x + x + 30 = 180.
3x = 180 - 30 = 150.
X = 150 / 3 = 50 Deg.
x/2 + 15 = 50/2 + 15 = 40 Deg.
B = (X/2 + 15) Deg.
The sum of complimentary angles = 90 Deg.
X + (X/2+15) = 90 Deg.
Multiply both sides by 2:
2x + x + 30 = 180.
3x = 180 - 30 = 150.
X = 150 / 3 = 50 Deg.
x/2 + 15 = 50/2 + 15 = 40 Deg.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.