First to answer gets ! if m< 1=8 and m< 8=122, determine the measures of the other seven angles in the figure.

listed below

Step-by-step explanation:

M<8=122

M<1=180-122=58

so:

<1=58

<2=122

<3=58

<4=122

<5=58

<6=122

<7=58

<8=122

Don't know what 5x+8 is for... if you think my answer is incorrect, give me the whole problem(your pic is not complete) and I'll solve it ASAP for you my friend.

Hope it will help! if not, i'm sorry, just feel free to comment below to ask me any question u might have! :)

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!