Q:

Points A, B, and C are on line AC.A horizontal line has points A, B, C. A line extends from point B up and to the left to point D. Angle D B C is 140 degrees.Angle CBD has a measure of 140°. What is the measure of angle ABD?

Accepted Solution

A:
Answer:∠ ABD = 40°Step-by-step explanation:See the diagram attached to this answer. Points A, B, and C are on line AC. Since ABC is a straight line so, the AC line forms 180° at point B. Now, a line extends from point B up and to the left to point D. Given that, angle CBD has a measure of 140° i.e. ∠ CBD = 140°. Now, ∠ ABD and ∠ CBD are supplementary i.e. ∠ ABD + ∠ CBD = 180° {Since ABC is a straight line} Hence, ∠ ABD = 180° - ∠ CBD = 180° - 140° = 40° (Answer)