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=​

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

A) ∠1 = 32

b) ∠2 = 148

c) ∠3 = 32

D) ∠7 = 32

E) ∠8 = 148

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