A complementary angle adds to 90 degrees or pi/2 radians. A supplementary angle adds to 180 degrees or pi radians.
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
An angle plus an equal angle would be equal the first angle multiplied by 2, it cannot be equal to any exact measurement because angle measures are like numbers, they can go up to infinity, and down to negative infinity. The only thing I can tell you about the new angle is that it will be an even numbered angle.
2
A square
pi/2 - M radians
Supplementary angles add up to 180° Complementary angles add up to 90° Let the angle be θ; then form an equation from the known facts: 1) Supplement: 180° - θ 2) Complement: 90° - θ → twice complement is (90° - θ) × 2 → increased by 65° is (90° - θ) × 2 + 65° These two are equal, thus: 180° - θ = (90° - θ) × 2 + 65° → 180° - θ = 180° - 2θ + 65° → θ = 65° The angle is 65°.
60 degrees. An angle and its complement always add up to 90 degrees. Because the ratio is 1:2, you know that there are three parts total (add the two sides of the ratio to get the total number of parts). Therefore, you can restate the ratio as 1/3 to 2/3. 2/3 of 90 is 60. So, the angle of the complement is 60 degrees.
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 complement to a 60 degree angle would be 30. The ratio then would be 2.
This would be a angle of 92 degrees. It should be 2 degrees. Because a complimentary angle measures 90 degrees.
2
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
(90 - 78)/2 ie 6o
A straight angle.
acute angle is an angle that is less that 90 degrees. An isosceles triangle is a triangle that has 2 equal sides and 2 equal angles.
90 - x = 1/2 (180 - x)2 (90 - x) = 180 - x180 - 2x = 180 - x180 - x = 180It looks like the only angle for which that's true is zero degrees.Complement of zero = 90Supplement of zero = 18090 = 1/2 of 180