Answer:
[tex]\huge\boxed{\sf x = 20.6}[/tex]
Step-by-step explanation:
We know that the sum of interior angles of a pentagon is:
=> (n-2) *180
Were n is the no. of sides
=> (5-2)*180
=> 3 * 180
=> 540
Hence, The sum of interior angles of a pentagon is 540.
So,
=> 3x - 5 + 6x + 25 + 5x - 10 + 5x - 10 + 6x + 25 = 540
Combining like terms
=> 3x + 6x + 6x + 5x + 5x - 5 + 25 + 25 - 10 - 10 = 540
=> 25x + 25 = 540
=> 25x = 540 - 25
=> 25x = 515
Divide both sides by 25
=> x = 515 / 25
=> x = 20.6
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
