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Chapter 4: Q7. (page 165)

Complete each sentence with the most appropriate word, phase or value.

If the measure of each interior angle of a polygon is 144, then the polygon has ________ sides.

Short Answer

Expert verified

The answer is 10.

Step by step solution

01

- State the formula to used. 

The sum of interior angles of a polygon is equal to 180鈭�(n鈭�2)

02

- State the explanation.

Let n be the number of sides of the polygon.

Then, the sum of interior angles of polygon is144n .

Then,

144n=180鈭�(n鈭�2)144n鈭�180n=鈭�36036n=360n=10

Hence, the polygon has 10 sides.

03

- State the conclusion.

Therefore,

鈥淚f the measure of each interior angle of a polygon is 144, then the polygon has 10蝉颈诲别蝉.鈥�

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