Question

complete this math word problem! thanku!

Answer 1

Answer:

m∠1 = m∠3 = m∠5 = m∠7 = 65° and m∠2 = m∠4 = m∠6 = m∠8 = 115°

Step-by-step explanation:

=> m∠1= m∠3 = 65° (vertically opposite angles)

=> m∠3 = m∠5 = 65° (alternate interior angles)

=> m∠5 = m∠7 = 65° (vertically opposite angles)

=> m∠7 + m∠6 = 180° (linear pair)

  = 65° + m∠6 = 180°

  = m∠6 = 180° - 65°

m∠6 = 115°

=> m∠6 = m∠8 = 115° (vertically opposite angles)

=> m∠8 = m∠2 = 115° (alternate interior angles)

=> m∠2 = m∠4 = 115° (vertically opposite anges)

So, m∠1 = m∠3 = m∠5 = m∠7 = 65° and m∠2 = m∠4 = m∠6 = m∠8 = 115°

Hope you understood!!