Find x. Round your answer to the nearest tenth of a degree.

Step-by-step explanation:

x = 32.2

Step-by-step explanation:

cos theta = adj/hyp  where adj means adjacent side and hyp = hypotenuse

cos x =  11/13

Take the inverse cos of each side

arccos (cos c) = arccos (11/13)

x = 32.2042275

Rounding to the nearest tenth

x =32.2

∠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°