Complementary angles sum to give 90 degrees. Therefore the complement to an 85 degree angle is a 5 degree angle.
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.
Suppose the angle is x degrees. Its complement is 90 - x and supplement is 180 - x So 90 - x = 2/5*(180 - x) Multiply both sides by 5: 5*(90 - x) = 2*(180 - x) Simplify: 450 - 5x = 360 - 2x Add 5x to both sides: 450 = 360 + 3x Subtract 360 from both sides: 90 = 3x Divide both sides by 3: 30 = x Answer: 30 degrees.
complement: 90 - A A=angle 1/5 x (A) + 6 = (90 - A) 1/5 x A = 84 - A 1/5 x A + A = 84 6/5 x A = 84 6 A = 420 A = 70 degrees
15 degrees
a 175 degree angle
Complementary angles sum to give 90 degrees. Therefore the complement to an 85 degree angle is a 5 degree angle.
The complementary angle of 51o is 39o; the supplementary angle of 51o is 129o.
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.
Well, honey, the supplement of a 10 degree angle is 170 degrees. So if you add those two angles together, you'll get a nice, straight line of 180 degrees. Simple math, darling.
Angle is x degrees. Then 2(180 - x) = 5(90 - x) + 30 360 - 2x = 450 - 5x + 30 3x = 120 x = 40 Check: supplement is 140, 2 x 140 = 280 complement is 50, 5 x 50 = 250 difference is 30 as required. QED
Suppose the angle is x degrees. Its complement is 90 - x and supplement is 180 - x So 90 - x = 2/5*(180 - x) Multiply both sides by 5: 5*(90 - x) = 2*(180 - x) Simplify: 450 - 5x = 360 - 2x Add 5x to both sides: 450 = 360 + 3x Subtract 360 from both sides: 90 = 3x Divide both sides by 3: 30 = x Answer: 30 degrees.
Supplementary angles ad up to 180 degrees. If one angle is 96, how much more do you need to get to 180? 180 - 96= 84 degrees
complement: 90 - A A=angle 1/5 x (A) + 6 = (90 - A) 1/5 x A = 84 - A 1/5 x A + A = 84 6/5 x A = 84 6 A = 420 A = 70 degrees
A 5 degree angle is an acute angle because it is greater than 0 but less than 90 degrees.
Suppose the angle is x degrees. Then its complement is x/5 deg So x + x/5 = 90 or 6x = 450 ie x = 75 degrees.
15 degrees