A. write an equation that represents the sum of the angle measures of the triangle. the equation is __=180. b. use your equation and the equation shown to find the values of x and y.

The sum of the internal angles of a triangle adds up to 180°. Hence, the sum can be expressed thus ; (A + B + C) = 180°

The sum of the internal angles of a triangle can be obtained using the relation :

Given that :

30 + x + y = 180

30 + x + 2x = 180

30 + 3x = 180

3x = 180 - 30

3x = 150

x = 150/3

x = 50°

y = 2x = 2(50) = 100°

Therefore, the values of X and y are 50° and 100° respectively.

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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.

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