In the diagram, line m is tangent to the circle and m overline CAB =278°. Find m < CBE .

In The Diagram, Line M Is Tangent To The Circle And M Overline CAB =278. Find M &lt; CBE .

Answers

Answer 1

The angle m∠CBE between the intersection of the chord and tangent line is equal to 41°

How to calculate for angle between the intersection of a chord and a tangent.

To calculate for the angle between the intersection of a chord and a tangent we need to know the measure of the intercepted arc, and then divide it by 2 to get the angle.

If the measure of the arc CAB is given to be equal to 278°, then the measure of intercepted arc BC is calculated as:

arc BC = 360 - 278

arc BC = 82°

angle CBE = 82°/2

m∠CBE = 41°

Therefore, the angle m∠CBE between the intersection of the chord and tangent line is equal to 41°

Read more about chord and tangent here:https://brainly.com/question/4470346

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