Question

Find The angle of CBD

Answer 1

125°

Explanation:

We know that ∠CBD = ∠ACB + ∠CAB [ External Angle of a Triangle theorem]

∠CBD = 58° + 67° = 125°

Answer 2

Angle CBD is 125°.

Explanation:

Remember that the sum of all the interior angles of a triangle is 180°. We know two of these angles from the diagram for problem #3: 67° amd 58°. Thus, angle ABC is 180° less the sum of 67° and 58°, or 180° - (67° + 58°), which comes out to 180° - 125°, or 55°.

This 55° and angle CBD are supplementary angles. In other words, 55° + <CBD must sum up to 180°. Subtracting 55° from 180° yields 125°.

Angle CBD is 125°.