Question

Find the value of x.​

Answer 1

Answer:

<x = 100°

Step-by-step explanation:

In ∆DOB

DO = BO (Radius)

Therefore ∆DOB is an isosceles triangle.

Hence , <BDO = <DBO

Now in ∆DOB

<BDO + <DBO + DOB = 180° (Angle Sum Property of ∆)

→ 40° + 40° + <DOB = 180°

→ 80° + <DOB = 180°

→ <DOB = 180° - 80°

→ <DOB = 100°

<AOC = <DOB (Vertically Opposite Angles)

<AOC = 100°

<x = 100°

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