Determine the angle in hexagonal-shaped nut, Mathematics

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The figure provided below shows a hexagonal-shaped nut. What is the measure of ∠ABC?

1318_hexagonal-shaped nut.png

a. 120°

b. 135°

c. 108°

d. 144°

a. The measure of an angle of a regular polygon of n sides is n - 2 × 180. Since a hexagon has 6 sides, to determine the measure of ∠ABC, substitute n = 6 and simplify. The measure of ∠ABC is 6 - 2 × 180 or 120°. If you select b, you assumed a hexagon has 8 sides. If you select c, you consider a hexagon has 5 sides. If you select d, you considered a hexagon has 10 sides.

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