Answer:
x = 27
Step-by-step explanation:
Statements Reasons.
1. [tex]m \angle KLP + m \angle PLM = 180\°[/tex] 1. By supplementary angles.
2. [tex]3x+ m \angle PLM = 180\°[/tex] 2. Substitution.
3. [tex]m\angle PLM = 180-3x[/tex] 3. Algebra.
4. [tex]m \angle PMN = m \angle P + m \angle PLM[/tex] 4. By exterior angle theorem.
5. [tex]2x+72=x+180-3x[/tex] 5. Substitution.
6. 6. Algebra.
[tex]2x+3x-x=180-72\\4x=108\\x=\frac{108}{2} =27[/tex]
