if arc AC=140 degrees, what is angle ABC?
if angle ABC=28 degrees, what is arc AC?
where is B ?
40
To find angle ABC when arc AC is given as 140 degrees, we need to apply the relationship between central angles and arcs in a circle.
In a circle, the measure of a central angle is equal to the measure of the arc it intercepts. Therefore, if arc AC is 140 degrees, angle ABC would also be 140 degrees.
Now, let's move on to the second question.
To find the measure of arc AC when angle ABC is given as 28 degrees, we can use the same relationship. The measure of an arc is equal to the measure of the central angle that intercepts it.
Therefore, if angle ABC is 28 degrees, arc AC would also be 28 degrees.
To find angle ABC when arc AC is given, you need to use the fact that the measure of an inscribed angle is half the measure of its intercepted arc. Therefore, to find angle ABC, you can simply divide the measure of arc AC by 2.
For example, if arc AC is given as 140 degrees, angle ABC would be 140 degrees divided by 2, resulting in angle ABC being 70 degrees.
On the other hand, to find arc AC when angle ABC is given, you need to use the fact that the measure of an inscribed angle is half the measure of its intercepted arc. Therefore, to find arc AC, you can simply double the measure of angle ABC.
For example, if angle ABC is given as 28 degrees, arc AC would be 28 degrees multiplied by 2, resulting in arc AC being 56 degrees.