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Standard VI

Mathematics

Adjacent and Opposite Angles of a Quadrilateral

Bisectors of ...

Question

Bisectors of two adjacent angles A and B of quadrilateral ABCD intersect each other at a point P .Prove that 2angle APB = angle B + angle D

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Similar questions

A O

and

D O

are the bisectors of

∠ A

and

∠ D

of the quadrilateral

A B C D

. Prove that

∠ A O D = \frac{1}{2} (∠ B + ∠ C)

Q. If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that

∠ C + ∠ D = k ∠ A O B

, then the value of

k

2.

If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that $∠ C + ∠ D = k (∠ A O B)$ , then find the value of k.

Q. In a quadrilateral ABCD, CO and DO are the bisectors of

∠ C

and

∠ D

respectively. Prove that

∠ C O D = \frac{1}{2} (∠ A + ∠ B)

Q. If bisectors of

∠ A

and

∠ B

of a quadrilateral ABCD intersect each other at

P

, bisectors of

∠ B

and

∠ C

Q

, bisectors of

∠ C

and

∠ D

R

and bisectors of

∠ D

and

∠ A

S

, then PQRS is a

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