A. if m< 7 = 37 , what is in m< 4 ? b. if m< 7 = 37 , what is in m< 2 ? c. describe the relationship between < 4 and < 8 . d. describe the relationship between < 3 and < 5 .

a). m∠4 = 143°

b). m∠2 = 37°

c). ∠4 ≅ ∠8

d). ∠3 + ∠5 ≅ 180°

Step-by-step explanation:

a). Given m∠7 = 37°

Since m∠7 ≅ m∠6 [Vertically opposite angles]

and m∠6 + m∠4 = 180° [Sum of interior angles formed by parallel lines l, m and transverse.]

Therefore, 37°+ m∠4 = 180°

m∠4 = 180 - 37

        = 143°

b). Since m∠6 ≅ m∠2  [Corresponding angles]

and m∠6 ≅ m∠7 [Vertically opposite angles]

Therefore, m∠2 ≅ m∠6 ≅ m∠7 ≅ 37°

c). ∠4 ≅ ∠8 [Corresponding angles]

d). ∠3 + ∠5 ≅ 180° [Interior angles of parallel lines m, l and a transverse].

46.2+112.3

step-by-step explanation: