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Find the value of x. Then find the missing angle measures of the polygon.

x = ?
5x degrees = ?
2x degrees = ?

Find the value of x. Then find the missing angle measures of the polygon. x = ? 5x-example-1
User Jwrush
by
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1 Answer

16 votes
16 votes

Answer:

x = 22.5

2x = 45

5x = 112.5

Explanation:

The sum of all internal angles in a triangle is 180 degrees. This can be expressed as the following:

x + 5x + 2x = 180

Combine the like terms:

8x = 180

Divide both sides by 8 to find the value of x:

x = 180/8

Simplify:

x = 22.5

Multiply by 2 to get 2x:

2x = 22.5 * 2

2x = 45

Multiply by 5 to get 5x:

5x = 22.5 * 5

5x = 112.5

Verify the answer is correct by taking all the obtained values and ensuring they sum to 180:

22.5 + 45 + 112.5 = 180

User Cillianreilly
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3.1k points