Question

Lines AC and BD intersect point P. m∠APD = 67°. Find the measures of ∠APB, ∠BPC, ∠CPD

Answer 1

Answer:

angle APB = 113°

angle CPD = 113°

angle BPC = 67°

Step-by-step explanation:

angle APD + angle APB = 180° (linear pair)

67° + angle APB = 180°

angle APB = 180° - 67°

angle APB = 113°

angle APB = angle CPD = 113° ( vertically opposite angle)

angle APD = angle BPC = 67° ( vertically opposite angle)

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