Answer:
angle L = 100 degrees
angle M = 110 degrees
angle N = 70 degrees
angle P = 80 degrees
Step-by-step explanation:
find value of 'x' then substitute into each of the four angle expressions
to find 'x', add all expressions and set them equal to 360 (there are 360 degrees in any four-sided polygon)
2x + 20 + 3x - 10 + 2x - 10 + 2x = 360
combine 'like' terms to get:
9x = 360
x = 40
angle L = 2(40) + 20 = 100 degrees
angle M = 3(40) - 10 = 110 degrees
angle N = 2(40) - 10 = 70 degrees
angle P = 2(40) = 80 degrees
Check:
100 + 110 + 70 + 80 = 360
