Question

Can some one please help me? I don't really understand this. I'm supposed to solve for x.

Answer 1

x = 17

Explanation:

By the Vertical Angle Theorem, 4x+66=7x+15

4x + 66 = 7x + 15

-66 both sides

4x = 7x - 51

-7x both sides

-3x = -51

÷(-3) both sides

x = 17

x = 17

Answer 2

x = 17

Explanation:

The marked angles are vertical and congruent, hence

7x + 15 = 4x + 66 ( subtract 4x from both sides )

3x + 15 = 66 ( subtract 15 from both sides )

3x = 51 ( divide both sides by 3 )

x = 17