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Chapter 3: Q14 (page 104)

Sketch the polygon described. If no such polygon exists, write not possible.

A regular pentagon, one of whose angles has measure 120.

Short Answer

Expert verified

Such a polygon described is not possible.

Step by step solution

01

Step 1. Write the formula to find the measure of each interior angle for a regular polygon with n sides.

The formula to find the measure of each interior angle for a regular polygon with sides is n-2180n.

02

Step 2. Calculate the measure of each interior angle for a regular pentagon.

The number of sides in a pentagon is 5.

Therefore, the value of n is 5.

Therefore, the measure of each interior angle for a regular pentagon is given by:

5鈭�21805=3脳1805=3脳36=108

Therefore, the measure of each interior angle for a regular pentagon is 180掳.

03

Step 3. Write the conclusion.

As, the measure of each interior angle for a regular pentagon is 180掳.

Therefore, the regular pentagon one of whose angle has measure 120 is not possible.

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Most popular questions from this chapter

Complete each statement with the word always, sometimes, or never. Two skew lines are parallel.

Classify each pair of angles as alternate interior, same side interior or corresponding angles

and

If m鈭�1=130what are the measures of the other numbered angels?

Complete each statement with the word always, sometimes, or never.

Two lines that are not coplanar intersect.

Exercises 23-29 refer to the diagram in step 2 of exercise 22.

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