SOLUTION: the measure of an angle is 10 more than the measure of its compliment.find the measure of each angle

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Question 634791: the measure of an angle is 10 more than the measure of its compliment.find the measure of each angle





















Found 3 solutions by radh, kevwill, MathTherapy:
Answer by radh(108) About Me  (Show Source):
You can put this solution on YOUR website!
This question is unsolvable without further information. We don't know anything about the compliment, and unless we do, it is unsolvable.

Answer by kevwill(135) About Me  (Show Source):
You can put this solution on YOUR website!
Despite what the original solver claimed, there is enough information to solve this problem.
Let x be the measure of the original angle. Then x%2F10 is the measure of its complement. We know that complementary angles add up to 90 degrees, so we have:
x+%2B+x%2F10+=+90
%2810%2Ax%29%2F10+%2B+x%2F10+=+90
%2810%2Ax+%2B+x%29%2F10+=+90
%2811%2Ax%29%2F10+=+90
11%2Ax+=+900
%2811%2Ax%29%2F11+=+900%2F11
x+=+900%2F11+=+81%269%2F11
The original angle measures 81%269%2F11 degrees and its complement measures 8%262%2F11 degrees.


Answer by MathTherapy(10810) About Me  (Show Source):
You can put this solution on YOUR website!

the measure of an angle is 10 more than the measure of its compliment.find the measure of each angle

Let angle be A
Then its complement = 90 - A

We then have: A = 90 - A + 10

2A = 100

A, or angle = 100%2F2, or highlight_green%2850%5Eo%29

Its complement = 90 - 50, or highlight_green%2840%5Eo%29

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