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Chapter 12: Q4. (page 701)

In Exercise 3-6, match the description with correct value.

Measures of interior angles of a regular hexagon.

Short Answer

Expert verified

The measures of interior angles of a regular hexagon is 120°.

Step by step solution

01

Given information. 

Here, the polygon is regular hexagon.

02

Formula used. 

All interior angles of a regular polygon are equal and the measure of an interior angle of regular n-gon is n-2×180°n.

03

Calculation. 

Here, polygon is regular hexagon this implies that n=6.

Therefore, The measures of interior angles of a regular hexagon is

n−2×180°n=6−2×180°6=4×180°6=720°6=120°

The measures of interior angles of a regular hexagon is 120°.

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Most popular questions from this chapter

Tell whether the angles are complementary, supplementary, or neither.

m∠5=58°m∠6=32°

In Exercise 3-6, match the description with correct value.

Sum of measures of interior angles of a convex heptagon. 360°

Solve the equation by first clearing the fractions.

710x-15=38

Four exterior angles of a convex pentagon have measures 14°, 87°, 56°, and 30°. Find the measure of the fifth exterior angle.

Tell whether the angles are complementary, supplementary, or neither.

m∠1=22°m∠2=58°
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