Question

A and B are vertical angles. If mA = (2x + 1)° and m/B = (x +10)°,
then find the value of x.

Answer 1

• x = 9

Explanation:

Given

• A and B are vertical angles
• m∠A = (2x + 1)
• m∠B = (x + 10)

Find the value of x

We know that vertical angles are congruent.

Use this property to set up equation.

• m∠A = m∠B

Substitute the values of angles and solve for x.

• 2x + 1 = x + 10
• 2x - x = 10 - 1
• x = 9

The value of x is 9