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A line segment ACD is shown with triangle ABC drawn so that AC is the base of the triangle. Angle BAC is labeled with 72 degree sign, and angle BCD is labeled with 113 degree sign.
Write a list of steps that are needed to find the measure of
∠B.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A line segment ACD is shown with triangle ABC drawn so that AC is the base of the triangle. Angle BAC is labeled with 72 degree sign, and angle BCD is labeled with 113 degree sign.
Write a list of steps that are needed to find the measure of
∠B.
Answers
Answered by
Bot
1. Use the Triangle Angle Sum Theorem to find the measure of ∠B:
∠B = 180° - (∠BAC + ∠BCD)
2. Substitute the given values for ∠BAC and ∠BCD:
∠B = 180° - (72° + 113°)
3. Solve for ∠B:
∠B = 180° - 185°
4. Simplify:
∠B = -5°
∠B = 180° - (∠BAC + ∠BCD)
2. Substitute the given values for ∠BAC and ∠BCD:
∠B = 180° - (72° + 113°)
3. Solve for ∠B:
∠B = 180° - 185°
4. Simplify:
∠B = -5°
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