The two angles ABC and CBD have a common side BC. What degree can ABD have if the angle ABC = 125 °
| April 28, 2021 | education
The two angles ABC and CBD have a common side BC. What degree can ABD have if the angle ABC = 125 ° and the angle CBD = 25 °?
1. Consider the first case, when the sides of the angles ABC and CBD lie in different directions from the common side of the BC, which means that the degree measures of these angles must be added.
125 + 25 = 150⁰ the degree measure of the ABD angle.
2. Consider the second case when the sides of the angles ABC and CBD lie on the same side of the common side of the BC, which means that the degree measures of these angles must be subtracted from the larger and smaller one.
125 – 25 = 100⁰ degree measure of angle ABD.
Answer: 150⁰; 100⁰.
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