Answer/Step-by-step explanation:
1. m<MNQ = m<P + m<Q
Reason: exterior angle theorem of a triangle.
2. 132° = 3x + 54°
Reason: Substitution
3. x = 26
Reason: Algebra
Solving algebraically, x can be found as follows:
132° = 3x + 54°
132° - 54° = 3x (subtraction property of equality)
78° = 3x
78°/3 = 3x/3 (division property of equality)
26 = x
x = 26