If A and B are vertical angles and mA = 7x -5 and mB = 4x + 10 , what is the value of x? x = _______

Answer 1

Vertical angles are angles that are opposite from each other, and are, by definition, congruent or equal.

That means m∠A and m∠B are the same, so

7x - 5 = 4x + 10

We can solve for x by moving all the x terms to one side, and all the non-x terms to the other.

7x - 5 = 4x + 10

-4x -4x

3x - 5 = 10

3x - 5 = 10

+5 +5

3x = 15

3x = 15

/3 /3

x = 5