Question

If
$m || n$
and angle 5 is 32 degrees, what are the other angle measures?
A. m1=
B. m2=
C. m3=
D. m7=
E. m8=​

Answer 1

Answer:

 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