25
explement of the angle or conjugate of an angle
150o
Let the angle be A, then the supplementary angle is (180 - A) and the complementary angle is (90 - A). But, 180 - A = 10(90 - A) = 900 - 10A 9A = 720 A = 80° The supplementary angle = 100° and the complementary angle = 10°
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
Angle and its complement have a sum of 90 degrees: A+C = 90 Angle plus five times its complement is 298 degrees: A+5C = 298 Subtract first equation from the second: 4C = 208 C = 52 So, the complement is 52 degrees and the angle is 38 degrees
The angle= 36, the supplement= 144, the compliment=54
explement of the angle or conjugate of an angle
74
15°
go off
an angle that is 54 degrees less than 4 times its complement
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.
118 degrees is your answer... I am the type of person that just answers it without an explanation.
150o
The supplement of an angle x is equal to 180 - x. The measure of an angle that is nine times its supplement can be written as: x = 9(180 - x) You can then solve for the measure of the angle x: x = 1620 - 9x 10x = 1620 x = 162 Therefore, that angle which is nine times its supplement is itself 162 degrees.
Let the angle be A, then the supplementary angle is (180 - A) and the complementary angle is (90 - A). But, 180 - A = 10(90 - A) = 900 - 10A 9A = 720 A = 80° The supplementary angle = 100° and the complementary angle = 10°
Complimentary angles are ones that add to 90° Supplementary angles are ones that add to 180° Translate: The measure of a supplement of an angle (180-x) is (=)8 more (8+) than three times (3*) the measure of a complement (90-x). Find the measure of the angle? 180 - x = 8+3(90-x) 180 - x = 8 + 270 - 3x 180 - x = 278 - 3x - x = 98 - 3x 2x = 98 x = 49 Check: The measure of the supplement (131) is 8 more than 3 times the compliment (41) 41 * 3 + 8 = 131 123 + 8 = 131 ■