Supplementary angles add up to 180 degrees
You can solve for the supplementary angle first. You can solve for the other directly, but the math is a little more involved.
Let A be an angle
Start with the supplementary angle.
A + ??? = 180
The angle you want is 12 less than twice as big
A + (2A - 12) = 180
Solve for A:
3A - 12 = 180
3A = 192
A = 64
Remember A is the supplementary angle, so subtract the angle we solved for (A) from 180 to find the angle you want.
180 - 64 = 116
The angle is 20 degrees
116 degrees
two-thirds of an angle is 30degree more than its supplemant. find the angle
60 degrees and 120 degrees
The angle is 60°. Its supplement is 120°.
A supplemental angle "completes" a given angle to make it a straight angle (180 degrees). The supplement of 90 is 90. The supplement of 100 is 80. As long as the two angles add up to 180 they supplement each other. So, you have some angle, x and its supplement, 180-x. The supplement is twice as big as the angle. 180-x = 2*x Solve for x and you're done!
Suppose the supplement of the angle is x degrees. Then the angle is 180 - x degrees. Therefore the complement of the angle is 90 - (180 - x) degrees = x - 90 degrees. So 5*(x - 90) - 2*x = 40 Solve the above equation for x.
The supplement of A is 180 - A The complement of A is 90 - A So, 180 - A = 2*(90 - A) + 20 or 180 - A = 180 - 2A + 20 So A = 20 degrees
Supplementary angles total 180 degrees so your angles are one- and two- thirds of that respectively, ie 60 and 120 degrees.
No. Because twice an acute angle is 60 degrees and an obtuse angle is 120 degrees. So the answer is no
40 degres
60 degrees.