Priya draws triangle ABC. She marks point D on side BC and draws line segment AD, splitting the triangle into two smaller triangles ABD and ACD. She measures angle BAD = 32°, angle ABD = 57°, and angle DAC = 19°. What is angle ACD?
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Worked Solution
Step 1: Find angle ADB in triangle ABD.
32° + 57° + angle ADB = 180°
angle ADB = 91°
Step 2: Supplementary angles at D on straight line BC.
angle ADC = 180° − 91° = 89°
Step 3: Find angle ACD in triangle ACD.
19° + 89° + angle ACD = 180°
angle ACD = 72°
Correct answer: 72°
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