In the given diagram(see image) , TAX and TBY are tangents to the circle and C is a point on the major arc. Question :
If <CAX = 65° , <CBY = 76° , Calculate <ATB.​

∠ATB = 102°

Step-by-step explanation:

Since ∠CBY is less than 90°, CB is not a diameter.

I did this in my head so I drew a sketch to show that around about way I did it. sketch attached:

I drew a third line from X to Y that is tangent to the circle at C.

Because each pair of tangent lines to a common point are equal, we have made three isosceles triangles.  

Now we know 2 of the three angles to ΔXYT, 180 - 50 - 28 = 102° for ∠ATB

Step-by-step explanation:

Given

To find

Solution

Refer to attached picture

TAX is a straight angle and:

∠TBA = ∠TAB as two tangents intersect at same distance, their opposite angles are therefore same. ΔATB is an isosceles triangle.

don't know sorry bru

step-by-step explanation:

answer: i believe it’s 245.04

step-by-step explanation: