A) find the value of X

Angle Q = 3x degrees due to inscribed angle

          P = 5x+5    "           "       "             "

          R = 4x-5

 

Added together they equal 180 degrees      3x + 5x+5 + 4x-5 = 180    12x= 180 x= 15 degrees

 

Q= 45 degrees   P = 80 degrees   R= 55 degrees      so it is a scalene triangle

Sorry for not perfect english, but i am pretty sure that you can understand.

 

 

The rule is, here, circle equals 360 degrees. 

 

(QR)+(QP)+(PR) = Circle

 

(QR)+(QP)+(PR) =360 degree

 

(QR)+(QP)+(PR) =(10x+10)+(8x-10)+(6x)

 

24x=360

 

x=15