Question

Solve for x and find the measurement of ∠ABC and ∠ABD.

Answer 1

Explanation:

The angles shown in the image are congruent angles so we can write the following equation to find the value of x and then the measure of each angle:

5x - 44 = 2x + 1

• Transfer like terms to the same side of the equation.

5x - 2x = 44 + 1

• Add/subtract like terms.

3x = 45

• Divide both sides with 3.

x = 15

To find angle measures, replace x with 15:

∠ABC = 31°

∠CBD = 31°