QuestionJune 5, 2025

What is the measure of each interior angle of a regular hexagon? a. 30^circ b. 120^circ c. 108^circ d. 60^circ

What is the measure of each interior angle of a regular hexagon? a. 30^circ b. 120^circ c. 108^circ d. 60^circ
What is the measure of each interior angle of a regular hexagon?
a. 30^circ 
b. 120^circ 
c. 108^circ 
d. 60^circ

Solution
4.1(250 votes)

Answer

120^{\circ} (b) Explanation 1. Calculate the sum of interior angles The sum of interior angles of a polygon is given by **(n-2) \times 180^{\circ}**, where n is the number of sides. For a hexagon, n = 6, so the sum is (6-2) \times 180^{\circ} = 720^{\circ}. 2. Find the measure of each interior angle A regular hexagon has equal interior angles. Divide the sum by the number of sides: \frac{720^{\circ}}{6} = 120^{\circ}.

Explanation

1. Calculate the sum of interior angles<br /> The sum of interior angles of a polygon is given by **$(n-2) \times 180^{\circ}$**, where $n$ is the number of sides. For a hexagon, $n = 6$, so the sum is $(6-2) \times 180^{\circ} = 720^{\circ}$.<br />2. Find the measure of each interior angle<br /> A regular hexagon has equal interior angles. Divide the sum by the number of sides: $\frac{720^{\circ}}{6} = 120^{\circ}$.
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