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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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