Question

In the figure ,OP perpendicular BOA,angels AOC equal angle BOD.
Show that angle POC equal angle POD.

Answer 1

Proved that ∠ POC = ∠ POD.

Step-by-step explanation:

See the attached diagram.

OP is perpendicular to BOA and hence, ∠ POA = ∠ POB = 90°.

Now, ∠ AOC = ∠ BOD = x° (Say)

Now, ∠ POC = ∠ POA + ∠ AOC = (90 + x)°.

And, ∠ POD = ∠ POB + ∠ BOD = (90 + x)°

Hence, proved that ∠ POC = ∠ POD. (Answer)