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
3x = 45
- Divide both sides with 3.
x = 15
To find angle measures, replace x with 15:
∠ABC = 31°
∠CBD = 31°