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

Answer:

See explanation

Step-by-step 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

$4x - 3x = 9 +7$

$x = 16$