Question

MATH /ALGEBRA QUESTION. (Correct answer gets 40!! POINTS)

Answer 1

equilateral means those 3 angles are 60 degrees
ok, so we got that the left polygon is 10 sides
so the internal angles are 144 degrees in those angles
360=around
CAD+CAB+DAB=360
CAD+60+144=360
CAD=156 degrees

the measure of an interior angle of an ngon is (n-2)*180/n

156=(n-2)(180)/n
solve for n
times both sides by n
156n=180n-360
minus 180n both sides
-24n=-360
divide both sides by -24
n=15

15 sided

n=15

Answer 2

both AC and AD must be larger than 60 degrees but less than 180 .