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.