Respuesta :
If two tangents intersect at a point outsides the circle, then its angle measure is equal to one-half the difference of its intercepted arcs.
A circle has 360 degrees, so to find the measure of the major arc, subtract 110 from 360 to get 250.
ABC = 1/2(250 - 110)
ABC = 1/2(140)
ABC = 70
The measure of angle ABC is 70 degrees.
Hope this helps =)
A circle has 360 degrees, so to find the measure of the major arc, subtract 110 from 360 to get 250.
ABC = 1/2(250 - 110)
ABC = 1/2(140)
ABC = 70
The measure of angle ABC is 70 degrees.
Hope this helps =)
Answer:
Step-by-step explanation:
Given that two tangents to a circle intersect at a point B outside the circle
A and C are points of contact.
By theorem on circles we have angle ABC is equal to 1/2 the difference of intercepted arcs.
Angle of minor arc =110 and hence major arc [tex]= 360-110 = 250[/tex]
Difference = [tex]250-110 =140[/tex]
Measure of angle ABC 1/2 of 140 = 70 degrees.
