Lines AC and BD intersect at point P. m∠APD = 47^° .Find the measures of ∠APB, ∠BPC, ∠CPD.

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Solution

In the given figure,
∠DPA + ∠APB = 180^∘ (Linear Pair angles)
⇒ 47^∘ + ∠APB = 180^∘
⇒ ∠APB = 133^∘
Now,
∠APD = ∠BPC = 47^∘ (Vertically opposite angles)
∠APB = ∠DPC = 133^∘ (Vertically opposite angles)
Hence, the measures of ∠APB, ∠BPC, ∠CPD are 133^∘, 47^∘ and 133^∘ respectively.

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Lines AC and BD intersect at point P. m∠APD = 47° .Find the measures of ∠APB, ∠BPC, ∠CPD.

Lines AC and BD intersect at point P. m∠APD = 47^° .Find the measures of ∠APB, ∠BPC, ∠CPD.