Answer:
Angle CBD is 125°.
Step-by-step 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°.
