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Chapter 12: Q1. (page 699)

Find the sum of the measures of the interior angles of a convex 10-gon.

Short Answer

Expert verified

The sum of the measures of all interior angles of a convex 10-gon is 1440掳.

Step by step solution

01

Step 1. Given Information.

The polygon is convex 10-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 convex heptagon this is n=10.

Calculate the sum of the all-interior angle of a convex 10-gon.

n鈭�2脳180掳=10鈭�2脳180掳=8脳180掳=1440掳

04

Step 4. Conclusion.

The sum of the measures of all interior angles of a convex 10-gon is 1440掳 .

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Most popular questions from this chapter

Extended Problem Solving: In the bicycle frame shown, 鈭�1is called the head angle, and 鈭�2 is called the seat angle. Lines mand nare parallel.

  1. Identify: Are 鈭�1 and 鈭�2 are corresponding, alternate interior, or alternate exterior angles.
  2. Explain: 鈭�1 and 鈭�2 have the same measure?
  3. Calculate: 鈭�1 and 鈭�2.Explain how you got your answer.

Find m鈭�1.

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

m鈭�3=118掳m鈭�4=72掳

Solve the equation by first clearing the fractions.

710x-15=38

Describe the pattern. (P.772)

3,11,19,27,鈥�
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