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Math Problems Supplementary & Complementary?
1. Find the measure of an angle thats half as large as its complement.
I know its 1/2(90-x) but i dont understand how the answers 30?
2. The measure of the supplement of an angle is 12 more than 2x the measure of the angle. Find the measure of the angle and its supplement.
3. A supp. of an angle is 6x as large as a complement of the angle. Find the angles measure, the supp and its complement.
*Best answers 10 points! :) Thanks for ur help
1 Answer
- 1 decade agoFavorite Answer
Explanation for [1]
x = (1/2)(90-x)
x = 45-(1/2)x
x + (1/2)x = 45
(3/2)x = 45
x = 45 / (3/2)
x = 30
Explanation for [2]
Let "x" be the angle, so its supplement is "180-x"
180 - x = 12 + 2x
180 - 12 = 2x + x
168 = 3x
x = 56
Thus, the angle equals 56 degrees and so its supplement equals 124 degrees
Explanation for [3]
Let "x" be the angle. So, its complement is "90 - x" and its supplement is "180 - x".
180 - x = 6(90 - x)
180 - x = 540 - 6x
-x + 6x = 540 - 180
5x = 360
x = 72
The angle measures 72 degrees. Therefore, the complement is 18 degrees and the supplement is 108 degrees.
