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