Question

The supplement of an angle is 6 degree less than three times its supplement. find the angle​

Answer 1

Let one angle be x and other be 3x-6

ATQ

`\\ \tt\longmapsto x+3x-6=180`

`\\ \tt\longmapsto 4x-6=180`

`\\ \tt\longmapsto 4x=186`

`\\ \tt\longmapsto x=46.5`

• 3x-6=133.5

Answer 2

• 46.5° and 133.5°

Explanation:

Let the angles are x and y.

Equations as per given information:

• x + y = 180 (supplementary angles)
• x = 3y - 6

Solve by substitution:

• 3y - 6 + y = 180
• 4y = 186
• y = 46.5

Find the value of x:

• x + 46.5 = 180
• x = 180 - 46.5
• x = 133.5