Question

Given m||n, find the value of x. (4x-7) degrees (3x+9) degrees It's transversal problems with equations Can anyone help please

Answer 1

See explanation

Explanation:

Given

`\angle 1 = 4x - 7`

`\angle 2 = 3x + 9`

Required

Find x

The question is incomplete, as the relationship between both angles is not given

(1) If they are supplementary, then

`\angle 1 + \angle 2 = 180`

`3x + 9 + 4x - 7 = 180`

Collect like terms

`3x + 4x = 180+7-9`

`7x = 178`

Divide both sides by 7

`x = 25.43`

(2) If they are complementary, then

`\angle 1 + \angle 2 = 90`

`3x + 9 + 4x - 7 = 90`

Collect like terms

`3x + 4x = 90+7-9`

`7x =88`

Divide both sides by 7

`x = 12.57`

(3) If they are vertically opposite angles, then

`\angle 1 = \angle 2`

So, we have:

`4x - 7 = 3x + 9`

Collect like terms

`4x - 3x = 9 +7`

`x = 16`