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PIT_PIT [208]
3 years ago
14

Determine the measure of the interior angle at vertex F

Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

72

Step-by-step explanation:

The interior angles of a 6 sided figure add to (n-2) * 180

where n is the number of sides

(6-2) *180

4*180

720

2x+4x+4x+4x+4x+2x = 720

20x = 720

Divide by 20

20x/20 = 720/20

x =36

We want <F

<F = 2x = 2*36 = 72

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pochemuha
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To solve this question, we have to use the rule of triangle inequality. This means, lengths of the any 2 sides of a triangle added up, must be longer than the remaining side.

Therefore, we can try and see which one of the options fits the rule.

A.
35+25 > 10 ✔️
25 + 10 = 35❌
A cannot make a triangle.

B.
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10 + 5 = 15 ❌
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C.
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D.
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Therefore, the answer should be C.
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Answer:

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