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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°.

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-2×180°.

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−2×180°=12−2×180°=10×180°=1800°

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

Angle=1800°12=150°

04

Step 4. Conclusion.

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

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Most popular questions from this chapter

Describe the pattern. (P.772)

3,11,19,27,…

Find m∠1.

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

m∠5=98°m∠6=72°

∠3 and ∠4 arecomplementary angles, and m∠3=24°. Find m∠4.

Copy and complete: The sum of the measures of two? angles is 90°.
See all solutions

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