logangonzalez006
logangonzalez006 logangonzalez006
  • 12-12-2020
  • Mathematics
contestada

PLEASE HELP!
m∥n m∠1 = 50°, m∠2 = 48°, and line s bisects ∠ABC What is m∠3 ?

PLEASE HELP mn m1 50 m2 48 and line s bisects ABC What is m3 class=

Respuesta :

eudora eudora
  • 17-12-2020

Answer:

m∠3 = 49°

Step-by-step explanation:

From the picture attached,

lines m and n are the parallel lines and line t is a transversal line intersecting these parallel lines at E and B respectively.

Therefore, ∠DEF ≅ ∠ABC [Exterior alternate angles]

m∠1 + m∠2 = m∠4 + m∠5

m∠4 = m∠5 [line s bisects ∠ABC]

50° + 48° = m∠4 + m∠4

98° = 2m∠4

m∠4 = 49°

Since, ∠4 ≅ ∠3 [Vertically opposite angles]

m∠3 = 49°

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