# In the Given Figure, If ∠Abc = 45°, Then ∠Aoc = - Mathematics

MCQ

In the given figure, if ∠ABC = 45°, then ∠AOC =

• 45°

• 60°

• 75°

• 90°

#### Solution

90°
We have to find AOC.

As we know that the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.

angleAOC = 2 angleABC

= 2 xx 45

= 90°

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 15 Circles
Q 22 | Page 111