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Chapter 12: Q2. (page 699)

Find the measure of an interior angles of a regular 12-gon.

Short Answer

Expert verified

The measure of an interior angle of a regular 12-gonis 150掳.

Step by step solution

01

Step 1. Given Information.

The polygon is regular 12-gon.

02

Step 2. Formula used.

The sum of the measure of the all-interior angles of a convex n-gon is n-2脳180掳.

03

Step 3. Calculation.

Here, polygon is 12-gon that is n=12.

Calculate the sum of the all-interior angle of a regular 12-gon.

n鈭�2脳180掳=12鈭�2脳180掳=10脳180掳=1800掳

Evaluate the size of 1 angle by dividing the sum by the total number of sides that is 12.

Angle=1800掳12=150掳

04

Step 4. Conclusion.

The measure of an interior angle of a regular 12-gonis 150掳.

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Most popular questions from this chapter

Describe the pattern. (P.772)

3,11,19,27,鈥�

Describe the pattern. (P.772)

1,5,25,125,鈥�

Draw a convex polygon that has exactly 8 interior angles.

Find m鈭�1.

Use the given information to find m鈭�2.

鈭�1 and 鈭�2 arecomplementary angles, and m鈭�1=81掳.
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