Question

In the given figure angle ABC=25 degree then Angle AOC=?​

Answer 1

HELLO DEAR,

QUESTION:-In the given figure angle ABC=25° then find Angle AOC=?

ANSWER:- According to question ,

angABC= 25° (given)

And CAB is a right triangle.

And a right triangle all angle sum = 180°

angle C + angle A + angle B = 180°

angle C + 90° + 25° = 180°

angle C = 180° - 115°

angle C = 65°

And angle A is bisected at O .

angle A' + angle O + angle C = 180°

45° + angle O + 65° = 180°

angle O = 180° - 110°

angle O = 70°

Therefore ,angle AOC= 70°

I HOPE IT'S HELP YOU DEAR,

THANKS.

Answer 2

Given : ∠ABC = 25°  

To Find : ∠AOC  

Solution:

AB & CB are tangents

Hence ∠OAB = ∠OCB = 90°

∠ABC = 25°

∠AOC = ?

Sum of angles of quadrilateral  AOCB = 360°

=> ∠AOC  + ∠OCB + ∠ABC  + ∠OAB = 360°

=> ∠AOC  + 90° + 25°  + 90° = 360°

=> ∠AOC  = 155°

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