Question

In the adjoining figure, DE || QR and AP and BP are bisectors of ∠EAB and ∠RBA respectively. Show that ∠APBis a right angle.

Answer 1

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

Given: DE∥QR, AP bisects ∠EAB, BP bisects ∠RBA

Since, DE∥QR

∠EAB+∠RBA=180

1/2(∠EAB+∠RBA)=90

∠PAB+∠PBA=90 (AP bisects ∠EAB, BP bisects ∠RBA)

Now, In △PAB

∠PAB+∠PBA+∠APB=180

90 +∠APB=180

∠APB=90∘

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