Using the definitions of straight-line angle and sum of triangle, the measure of ∠B is: 41°.
Sum of Triangle and Straight Line Angle
- Sum of triangle = 180 degrees.
- Straight-line angle = 180 degrees.
The following shows steps to finding the measure of ∠B:
Find m∠BCD using the definition of straight-line angle:
m∠BCD = 180 - 113
m∠BCD = 67°
Next, find m∠B using definition of sum of triangle:
m∠B = 180 - 67 - 72
m∠B = 41°
In summary, using the definition of straight-line angle and sum of triangle, the measure of ∠B is: 41°.
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