# Circle Theorem: Angles in the Same Segment Are Equal

## Circle Theorem: Angles in the Same Segment Are Equal

All triangles drawn from a chord in a circle make the same angle at the circumference.

## How to Use the Circle Theorem that the Angles in the Same Segment Are Equal

### Question

What is the angle θ in the circle below?

### Step-by-Step:

# 1

The angles subtended by the chord at the circumference of the circle are equal.

θ = 40°

### Answer:

The angle θ is 40°.