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.

abde or 1,2,4, 5 is the answer

step-by-step explanation:

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336