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Dominik [7]
2 years ago
9

15 of 15 Find the size of the final unknown interior angle in a polygon whose other interior angles are: 162°, 115°, 125°, 148°

and 105°.
answer ?
​
Mathematics
1 answer:
alexandr1967 [171]2 years ago
6 0

Answer: 147 Degrees

Step-by-step explanation

The size of the final unknown interior angle in a polygon is 147 degrees.

Given that,

The other interior angles are 162°, 115°, 120°, 148° and 85°.

We assume that there is an equation (2n - 4) 90.

Here n be 7.

Based on the above information, the calculation is as follows:

= (2n - 4) 90

= ((2) (7) - 4) 90

= 10 (90)

= 900

Now the size of the unknown interior angle is  

= 900-(162+125+148+105+98+115)

= 900 - 753

= 147°

Therefore we can conclude that the size of the final unknown interior angle in a polygon is 147 degrees.

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