Question

Find the size of the final unknown interior angle in a polygon whose
other interior angles are:
162°, 115°, 120°, 148° and 85°.

Answer 1

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.

Learn more: brainly.com/question/13549064