In the diagram, line m is parallel to line n.

What is the measure, in degrees, of angle ABC?

m∠ABC = 55°

Step-by-step explanation:

m∠BAC = 50° because ∡BAC ≅ ∡DCA

since there are 180° in ΔABC the m∠ABC = 180-(75+50) which equals 55°

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

need more information

step-by-step explanation: