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dwhitlock10
28.01.2020 •
Mathematics
If the degree measure of an angle is 40 degrees less than 3 times the degree measure of its supplementary angle, what is the degree measure of the angle
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Ответ:
The degree measure of the angle is 125 degrees
step-by-step explanation:
The degree measure of an angle is 40 degrees less than 3 times the degree measure of its supplementary angle.
Let x = the degree measure of the angle.
For supplementary angles, sum of the angles = 180 degrees.
The supplementary angle of x is (180-x) degrees .
3 times the degree measure of the supplementary angle of x and it is greater than x by 40 degrees
= 3(180-x)-40degrees
x = 540-3x-40
x +3x = 540-40
4x = 500
x = 500/4
x = 125 degrees
Ответ: