Answer:
m<L = 51°
Step-by-step explanation:
(2z - 3)° + (5z - 6)° = 180° (consecutive angles in a parallelogram are supplementary)
Solve for z
2z - 3 + 5z - 6 = 180
Add like terms
7z - 9 = 180
7z = 180 + 9 (addition property of equality)
7z = 189
Divide both sides by 7
z = 27
Find angle L:
m<L = 2z - 3
Plug in the value of z
m<L = 2(27) - 3
m<L = 54 - 3
m<L = 51°
