Answer/Step-by-step explanation:
Given:
m<MNQ = 132°
m<Q = 54°
m<P = 3x
1. m<MNQ = m<P + m<Q
Reason: exterior angle theorem of a triangle
Plug in the values
2. 132° = 3x + 54°
Reason: Substitution
3. x = 26
Reason: Algebra
132 - 54 = 3x (substraction property of equality)
78 = 3x
78/3 = x (division property of equality)
26 = x
x = 26
The volume is 288
because V = w h l = 6•4•12 = 288
The quotient for the question is: -343
