Answer:
137°
Explanation:
You want the measure of angle BCD in the given figure.
Angle addition
The angle addition theorem tells you an angle is the sum of its parts:
∠ACD = ∠ACB +∠BCD
Using the given values, this sum is ...
165° = 28° +∠BCD
137° = ∠BCD . . . . . . . . subtract 28° from both sides
The measure of angle BCD is 137°.
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