Question

The two lines below intersect as shown what the value of x (2x+29) (9x-13)

Answer 1

Given:

Two lines intersect each other.

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.

In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.

$2x+29=9x-13$

$2x-9x=-29-13$

$-7x=-42$

Divide both sides by -7.

$x=\dfrac{-42}{-7}$

$x=6$

Therefore, the value of x is 6.