Question

Angles a and b are vertical angles. If mA = (5x – 24)° and m B = (3x + 24),

then find the value of x.

Answer 1

The correct answer is x = 24.

Explanation:

To solve this problem, we must remember that vertical angles have the same measure. This lets us set up the following equation:

m<a = m<b

If we substitute their values, we get the following:

5x - 24 = 3x + 24

To solve this equation, we can first subtract 3x from both sides of the equation.

2x - 24 = 24

Next, we can add 24 to both sides of the equation.

2x = 48

Finally, we can divide both sides of the equation by 2.

x = 24

Therefore, the answer is x = 24.

Hope this helps!