Question

DI
15. Through any point in the bisector of an angle,
a straight line is drawn parallel to either arm
of the angle. Prove that the triangle so formed
is isosceles.
N​

Answer 1

Hey mate here's your answer

Consider ∠XYZ, OY bisects ∠XYZ, OP∥YZ and OB∥YZ

OY bisects ∠XYZ

Hence, ∠PYO=∠OYZ (1)

Now, PO∥YZ

Hence, ∠OYZ=∠POY (Alternate angles) (2)

Thus, from (1) and (2)

∠PYO=∠POY

or △POY is an Isosceles triangle

Similarly, △OBY is an Isosceles triangle.

solution

Answer 2

Answer:

There You Go !

Step-by-step explanation:

Check Your Answer in the attachment !

Hope it helps you ! And if it does, mark me the brainliest !