Is triangle AXY inscribed in circle A?
yes
no

Δ AXY is not inscribed in circle with center A.

Step-by-step explanation:

Given: A circle with center A

To find: Is Δ AXY inscribed in circle or not

A figure 1 is inscribed in another figure 2 if all vertex of figure 1 is on the boundary of figure 2.

Here figure 1 is Δ AXY with vertices A , X and Y

And figure 2 is Circle.

Clearly from figure, Vertices A , X and Y are not on the arc/boundary of circle.

Therefore, Δ AXY is not inscribed in circle with center A.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°