Find the measure of the central angle
for the regular polygon.
m∠1=
m∠2=
m∠3=
Answer:
m<1 = 45 degrees
m<2 = 22.5 degrees
m<3 = 67.5 degrees
Step-by-step explanation:
regular octagon, all interiors must be identical, and add up to 360 degrees
360/8 = 45 degrees for each interior angle
m<1 = 45 degrees
for m<2, it's half, 45/2 = 22.5 degrees
to solve m<3
triangle = 180 degrees added up
Let x = m<3
90 + 22.5 + x = 180
112.5 + x = 180
x = 67.5