Find missing angle measures

∠ 1 = 160°, ∠ 2 = 20°

Step-by-step explanation:

The 2 angles are adjacent and supplementary, thus

∠ 1 + ∠ 2 = 180°, substitute values

5x + x - 12 = 180, that is

6x - 12 = 180 ( add 12 to both sides )

6x = 192 ( divide both sides by 6 )

x = 32

Thus

∠ 1 = 5x = 5(32) = 160°

∠ 2 = x - 12  = 32 - 12 = 20°

(3x-8) or (3x+8)

step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)