Respuesta :

Answer:

∠ 3 = 115°

Step-by-step explanation:

∠ 6 and ∠ 8 are adjacent angles on a straight line and sum to 180° , that is

2x - 5 + x + 5 = 180

3x = 180 ( divide both sides by 3 )

x = 60

Then

∠ 6 = 2x - 5 = 2(60) - 5 = 120 - 5 = 115°

∠ 3 and ∠ 6 are alternate angles and are congruent , then

∠ 3 = 115°

mhanifa

Answer:

  • 115°

Step-by-step explanation:

Angles 6 and 8 form a linear pair, so:

  • m∠6 + m∠8 = 180
  • 2x - 5 + x + 5 = 180
  • 3x = 180
  • x = 60

Angles 3 and 6 are alternate interior angles and therefore congruent:

  • m∠3 = m∠6 = 2*60 - 5 = 115

Otras preguntas