Question

The ratio an angle and.its supplement is 5:1 find the angle

Answer 1

1. 150;30

2.160;20

140;40

Step-by-step explanation:

The right answer is 150;30

Answer 2

The answer is 150°

Given: The ratio of an angle to its supplement angle = 5 : 1

To find: The measurement of angle

Solution:

Supplement  angles:

If the sum of the pair of angles is 180° then the angles are called as Supplementary angles

Example: (90°, 90°)     [ 90°+90° = 180° ]

                (130°, 50°)    [ 130° + 50° = 180° ]

Given ratio of angle to its supplement angle = 5 : 1

Assume that 5x, x are required angles  [ ∵ they are in 5 : 1 ratio ]

Sum of the angles, 5x + x = 180°

⇒ 6x = 180°

⇒  x = 180°/6 = 30

Therefore, the measurement of angle = 5x = 5(30) =150°

The angle is 150° and its supplement angle is 30°

#SPJ2