Students were asked over to answer a question at school and to indicate what is most important for them to succeed. The one which response stood out from the rest was practice. Successful people are generally not born successful; they become successful through hard work and commitment. If you tend to complete your goals, keep this in mind! the following some question and answer examples that you could actually implement to expand your knowledge and gain insight that will guide you to sustain your school studies.

## Question:

What is the measure of angle COA?

140°150°160°170°

## Answer:

To solve the problem we must know the **concept **of the **Center angle theorem. **The **measure **of the **center angle ∠AOC** is **160°.**

### What is the central angle theorem?

According to the **central angle theorem,** if an arc of a **circle **makes an **angle **with any point on the **circumference **of that circle then the **measure **of that **angle **is half the angle made by that arc at the **center **of the circle.

Given to us

∠ABC = 80°

As we already know the angle **made **by **Arc AC at** point **B,** therefore, the **center angle** made by ARC AC at the center will be twice of it. Therefore,

∠AOC = 2∠ABC

∠AOC = 2(80°)

∠AOC = 160°

Hence, the **measure** of the **center angle** ∠AOC is 160°.

Learn more about **Center Angle:**

They can potentially hopefully assist the student solve the question by working with the questions and answer examples. You would certainly then have a discussion with your classmate and continue the school learning by studying the problem altogether.