Question

please explain this question with full explainatipn
I will mark it as a brainliest

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Answer 1

Answer:

Step-by-step explanation:

Let ∠ABP and ∠PBC be x.

Let ∠ACP and ∠PCD be y.

∴∠ACB = 180 - 2y.   (Linear angles)

InΔABC,

∠A  + ∠ABC + ∠ ACB = 180

∠A + 2x + 180 - 2y = 180

∠A = 2(y-x)     (1)

InΔPBC,

∠P + ∠PBC + ∠PCB = 180

∠P + x + 180 - y = 180

∠P = (y-x)      (2)

From equation 1 and 2, we can say that

∠A = 2 * ∠P