In triangle ABC, angle A = 62° and angle B = 47°. The side BC is extended to a point D. Find angle ACD.
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Worked Solution
Step 1: Recall the Exterior Angle Theorem.
The exterior angle of a triangle equals the sum of the two non-adjacent (remote) interior angles.
Step 2: Identify the remote interior angles for angle ACD.
The exterior angle ACD is formed at vertex C by extending BC to D.
The two remote interior angles are angle A = 62° and angle B = 47°.
Step 3: Apply the theorem.
Angle ACD = angle A + angle B = 62° + 47° = 109°
Verification: Interior angle C = 180° − 62° − 47° = 71°.
Angle ACD = 180° − 71° = 109° ✓
Answer: 109°
Answer: 109°
Correct answer: 109°
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