Question

Point B is an interior of AOC. If AOB : AOC = 3 : 8 and BOC=80, find AOB and AOC

Answer 1

Given :-

• Point B is an interior of ∆AOC.
• ∠AOB : ∠AOC = 3 : 8 .
• ∠BOC = 80° .

To Find :-

• ∠AOB and ∠AOC ?

Solution :-

Let us assume that, ∠AOB and ∠AOC are 3x and 8x respectively . (Ratio is given 3 : 8) .

so,

→ ∠BOC = ∠AOC - ∠AOB

→ ∠BOC = 8x - 3x

→ ∠BOC = 5x .

then,

→ 5x = 80°

→ x = 16° .

therefore,

→ ∠AOB = 3x

→ ∠AOB = 3 * 16 = 48° (Ans.)

and,

→ ∠AOC = 8x

→ ∠AOC = 8 * 16 = 128° (Ans.)

Learn more :-

In ABC, AD is angle bisector,

angle BAC = 111 and AB+BD=AC find the value of angle ACB=?

https://brainly.in/question/16655884