Question

50 points!

Determine the degree measure of one angle of a 24-sided regular polygon.

a. 165°
b. 180°
c. 3,960°
d. 4,320°

Answer 1

Answer:

• a. 165°

Step-by-step explanation:

Sum of interior angles of n-sided polygon is:

• Sₙ = 180°(n - 2)

Substitute n with 24:

• S₂₄ = 180°(24 - 2) = 180°(22) = 3960°

Find measure of one interior angle:

• 3960°/24 = 165°

Correct choice is a.