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3 years ago

if the measure of an interior angle of a regular polygon is 120 find the number of the sides in the polygon

Mathematics

2 answers:

mel-nik [20]3 years ago

6 0

Answer:

6 sides

Step-by-step explanation:

Interior angle and exterior angle are linear pair.

Let exterior angle = x

x + 120 = 180

x = 180 - 120

x = 60

Number of sides (n) = 360 ÷ measurement of exterior angle

n = 360 ÷ 60

n = 6

Leya [2.2K]3 years ago

6 0

Answer:

6 sides

Step-by-step explanation:

The exterior angle and interior angle sum to 180° , then

exterior angle + 120° = 180° ( subtract 120° from both sides )

exterior angle = 60°

The sum of the exterior angles of a polygon = 360°

To find number of sides n , divide sum by measure of one exterior angle

n = 360° ÷ 60° = 6

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vekshin1

Answer:

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Step-by-step explanation:

Given;

- 4≤ k ≤ 1

The range of value of k is between -4 and 1.

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3 years ago

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Viefleur [7K]

Answer:

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2. 1/2

Step-by-step explanation:

1. 7/9 + 5/12

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= 43/36

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= (21 - 9) / 24

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3 0

3 years ago

Read 2 more answers

Please help me I’m stuck

Gre4nikov [31]

Answer:

$x = 3.7$

Step-by-step explanation:

We can find the side of the hypotenuse by applying pythagorean theorem.

${5}^{2} + {5}^{2} = {x}^{2}$

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$50 = {x}^{2}$

$x = 5 \sqrt{2}$

Now we can apply pythagorean theorem on the other triangle

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$x = \sqrt{14}$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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lara [203]

Answer:

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Step-by-step explanation:

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3 years ago