Question

5. In the adjoining figure, AC and BD intersect at O. AB = CB, AD = CD and AO = OC.<br />a. Write the triangle congruent to triangle AOD.<br />b. Write the triangle congruent to triangle AOB<br />c. Find the measure of angle AOD.<br />A А<br />B​

Answer 1

Step-by-step explanation:

in ABD and △CBD

AB=CB

AD=CD

BD=BD

△ABC≅△CBD (SSS Rule)

by CPCT,

∠ABD=∠CBD

Hence, BD devised ∠ABC into two equal parts

∴BD bisects ∠ABC

∠AOD=90°

hope it helps you❤️