Find the midpoint of joining 4 - 5 and 8 - 3

(6, - 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( , )

Here (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (8, - 3) , then

midpoint = (, ) = (, ) = (6, - 4 )

∠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°