If

and angle 5 is 32 degrees, what are the other angle measures?
a. m1=
b. m2=
c. m3=
d. m7=
e. m8=

 A)  ∠1 = 32

b)  ∠2 = 148

c)  ∠3 = 32

D) ∠7 =  32

E) ∠8 = 148

Step-by-step explanation:

A) ∠1 =  ∠5    {corresponding angles}

    ∠1 = 32

B)    ∠1 and  ∠2 are linear pair

∠1 +  ∠2 = 180

32 + ∠2 =180

∠2 = 180 - 32

∠2 = 148

C) ∠3  = ∠1   { vertically opposite angles}

∠3 = 32

D) ∠7 = ∠5   {vertically opposite angle }

   ∠7 =  32

E) ∠5 + ∠8  = 180    {∠5 and ∠8 are linear pair}

        32 + ∠8 = 180

                ∠8 = 180 - 32

                 ∠8 = 148

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b