Question

Solve for x. Help me and I will do anything for you.

Answer 1

`\huge\boxed{\sf x = 8}`

Explanation:

From the diagram,

8x + 36 = 5x + 60 (Vertically opposite angles are equal)

Subtract 5x to both sides

8x - 5x + 36 = 60

3x + 36 = 60

Subtract 36 to both sides

3x = 60 - 36

3x = 24

Divide 3 to both sides

x = 24/3

x = 8

`\rule[225]{225}{2}`

Answer 2

x = 8

Step-by-step -e-x-p-l-a-n-a-t-i-o-n- below

The angles shown are vertical angles

Vertical angles are congruent (equal to each other)

This means that 8x + 36 = 5x + 60

Using this equation we can solve for x

8x + 36 = 5x + 60

==> subtract 36 from both sides

8x = 5x + 24

==> subtract 5x from both sides

3x = 24

==> divide both sides by 3

x = 8