In a circle whose center is O, arc AB contaisn 100 degrees. Find the number of degrees i angle ABO?

the shape is a circle but aob is a triangle

Triangle AOB is isosceles, with angle OAB = angle OBA

which makes each of them 40°

To find the number of degrees in angle ABO, we need to understand a property of circles.

A circle is made up of 360 degrees. This means that if you were to trace around the entire circumference of a circle, you would cover 360 degrees.

In this case, we know that arc AB contains 100 degrees.
Since arc AB is a fraction of the entire circumference, we can set up a proportion to find the measure of angle ABO.

Let x be the number of degrees in angle ABO.

We have the equation:

100 degrees / 360 degrees = x degrees / 360 degrees

Now, we can solve for x by cross-multiplying:

100 * 360 = x * 360

36,000 = 360x

Dividing both sides of the equation by 360, we get:

x = 36,000 / 360

Simplifying, we find that x = 100.

Therefore, the number of degrees in angle ABO is 100 degrees.

Isn’t it a circle and not a triangle