Respuesta :

Answer: m∠5 = m∠7 = 67°

because a//b => m∠4 + m∠5 = 180°

⇔ 113° + m∠5 = 180°

⇔ m∠5 = 180 - 113 = 67°

because ∠5 and ∠7 are  2 opposing angles

=>  m∠5 = m∠7 = 67°

Step-by-step explanation:

mhanifa

Answer:

  • m ∠5 = 67°
  • m ∠7 =  67°

Step-by-step explanation:

Given

  • a║b, m ∠ 113

To find

  • m ∠5, m ∠7

Solution

Angles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:

  • m ∠ 4 + m ∠5 = 180°
  • m ∠5 = 180 ° - m ∠4
  • m ∠5 = 180° - 113° = 67°

Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:

  • m ∠7 = m ∠5 = 67°

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