Question

A,B,C,D are the points on the
Circle with centre o angleADb = 50°
find
a. Angle acb
b. Angle sob

Answer 1

Answer:-

angle ACB=65° ✓

Explanation:

AOBD is a quadrilateral

sum of angles of quadrilateral=360°

☞ angle BOA +90°+ angle ABD+90°=360°

☞angle BOA+50°=180°

☞angle BOA=130°

now,

☞angle BOA = 2 angle ACB ( angle subtended by chord AB at centre and arc segment)

☞130°=2 angle ACB

therefore, angle ACB= 65°