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4 0

3 years ago

svet-max [94.6K]

Answer:

The polygon has 9 sides

Step-by-step explanation:

we know that

A regular polygon has equal length sides and equal interior angles

step 1

Find the measure of the interior angle

Remember that

The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)

Let

x ----> the measure of each interior angle in the regular polygon

$x+40^o=180^o$

solve for x

$x=180^o-40^o=140^o$

step 2

Find the number of sides of the regular polygon

we know that

The measure of each interior angle in a regular polygon is given by the formula

$x=\frac{(n-2)180^o}{n}$

where

n is the number of sides of the polygon

substitute the given values

$140^o=\frac{(n-2)180^o}{n}$

solve for n

$140n=180n-360\\180n-140n=360\\40n=360\\n=9\ sides$

therefore

The polygon has 9 sides

8 0

3 years ago

*GIVING BRAINLIEST 50POINTS*

PilotLPTM [1.2K]

Answer:

1.x^7

2.x^10

3.a^2

4. 5

Step-by-step explanation:

1. x^(5+2)=x^7

2.x^(5*2)=x^10

3.a^(5-3)=a^2

4. 5 * 1=5

8 0

3 years ago

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