A side of the triangle below has been extended to form an exterior angle of 155°. Find the value of xx.

Step-by-step explanation:

Find a similar diagram attached

Let the exterior angle be 155°

The sum of interior angle is equal to the sum of the exterior angle of the triangle

Interior angle are angles inside the triangles

Sum of interior angles = 90 + x

Exterior angles are those outside the triangle.

Exterior angle = 155°

Since sum of interior = exterior, hence;

90 + x = 155

x = 155 - 90

x = 65°

Hence the value of x is 65°

Note that the same concept can be used for any other triangle extending to form an exterior angle

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.