Question

In the given figure TA and TB are tangents to the circle with centre O if angle ATB is equal to 80 degrees then find the measure of angle ABT

Answer 1

Answer:

Step-by-step explanation:

TA and TB are tangents

So,TA=TB

ATB=80 degrees

Then,in triangle TAB

ATB+TBA+BAT=180 degrees

80+ABT+ABT=180 degrees(since TA=TB opp. angles of equal sides are equal)

2 ATB=180-80

ATB=100÷2

ATB=50 degrees