Louis is 26 years old. her daughter is 4 years
old. in how many years will louis be double her
daughter's age?

In 18 years

Step-by-step explanation:

26 + x = 2( 4 + x )

26 + x = 8 + 2x

26 - 8 = 2x - x

18 = x

∠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°