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Construction of an Angular Bisector and its Proof

in a quadrile...

Question

in a quadriletral ABCD the line segment bisect\angle C and\angle D meet atE prove that \angle A+\angle B =2\angle CE

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Q. In a quadrilateral

A B C D

, the line segments bisecting

∠ C

∠ D

E

∠ A + ∠ B = 2 ∠ C E D

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

∠ C

∠ D

respectively. Prove that

∠ C O D = \frac{1}{2} (∠ A + ∠ B)

A O

D O

are the bisectors of

∠ A

∠ D

of the quadrilateral

A B C D

∠ A O D = \frac{1}{2} (∠ B + ∠ C)

Q. In the given quadrilateral ABCD, the line segments bisecting

∠ C

∠ D

meet at O. Then the correct statement is:

Q. In the given square ABCD, a line segment DE cuts the side BC at E and the diagonal AC at O such that

∠ C O D = 120^{\circ} .

Find the measure of

∠ O E C

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