In the figure, two parallel lines are cut by a transversal. The angle marked p is 32° more than the angle marked q. The two angles are co-interior (sum to 180°). Find p.
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Worked Solution
Step 1: Let q be the smaller angle. Then p = q + 32.
Step 2: Co-interior angles sum to 180°: p + q = 180°.
Step 3: Substitute: (q + 32) + q = 180 → 2q = 148 → q = 74°.
Step 4: p = 74 + 32 = 106°.
Answer: 106°
Correct answer: 106°
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