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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掳.

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脳180掳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鈭�2脳180掳n=6鈭�2脳180掳6=4脳180掳6=720掳6=120掳

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

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Most popular questions from this chapter

Let 鈭�1and 鈭�2be complementary angles, and let 鈭�2and 鈭�3be supplementary angles. If m鈭�1=x掳 and m鈭�2=2x掳, find x. Then find m鈭�1, m鈭�2, and m鈭�3.

A transversal intersects lines mand n. If the corresponding angles are congruent, what can you conclude about lines m and n?

Find the value of xin the figure. Then find the unknown angle measures.

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

m鈭�5=98掳m鈭�6=72掳

In example 2, if you know only m鈭�6,can you find the measures of the other numbered angles? Explain.
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