Question

Find the value of the unkown in the given polygon.
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Answer 1

Answer:

1. x=55, y=75

2. x=102.5, y=102.5

Step-by-step explanation

1. y+105=180

y=180-105

y=75

(2x+10)+2x+x+75 = (4-2)x180

2x+10+3x+75=360

5x+85=360

5x=360-85

x=275/5

x=55

Conclusion : x=55; y=75

2. x=y

x+x(or y+y) +95+60 = (4-2)x180

2x+155=360

2x = 205

x=205/2

x=102.5

Conclusion : x=102.5, y=102.5

Btw, there's a formula for calculating the total interior angles in a polygon which is : (n-2)x180 which n=number of sides so I applied this formula in these 2 questions ;))

If you want to calculate 1 interior angle only for a REGULAR polygon, u can use : [ (n-2)x180 ]divide n (* n=number of sides)