Answer:
⇒ 
⇒
⇒
⇒ 


<u>-------------------------</u>
Hope it helps...
Have a great day!!
identity used is
x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).
then use
(x+y+z)² = x²+y²+z²+2(xy+yz+xz)
225= 83 + 2(xy+yz+xz)
xy+yz+xz = (225-83)/2
xy+yz+xz= 142/2
xy+yz+xz= 71
ok
now use identity
x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).
now
x³ + y³+ z³– 3xyz = 15 (83 – xy – yz – zx).
= 15[83 - (71)]
= 15×12
=180
Two angles are supplementary if their sum is 180 degrees.
Here we are given:
Angle GHI measures (28x + 40)° and angle JHI measures (7x)°.
Sum of angle GHI and JHI is 180.



dividing both sides by 35,
x=4
Now let us find angle JHI
angle JHI = 7x = 7*4 =28
Answer : Angle JHI is 28 degrees.