Supplementary angles? HELP?
Angle A and Angle B are supplementary angles. The measure of Angle B is 30 degrees more than twice the measure of Angle A. Find the measure of the two angles.
Please help and explain as thorough as possible. Will def. give 10 points to best answer :)
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Since supplementary angles contain 180°..
2x + 30 + x = 180
3x + 30 = 180
3x = 180 - 30
3x = 150
x = 150/3
x = 50
Hence, two angles measure 50° and 130°
I hope this helps!
Supplementary angles are pair of angles which add up to 180 degrees.
By simple algebra:
Let A be measure of angle A, and let B be the measure of angle B.
A + B = 180 degrees
But B is 30 degrees more than twice the measure of A.
so we have B = 2A + 30
Substitute to the first equation:
A + (2A + 30) = 180;
3A + 30 = 180;
3A = 150
A = 50 degrees,
B = 130 degrees.
Supplementary angles add up to 180 degrees.
A + B = 180
B = 30 + 2A
Substitute B into the first equation.
A + 30 + 2A = 180
3A + 30 = 180
3A = 150
A = 50
A + B = 180
50 + B = 180
B = 130