Which angle measures are correct? Select three options.
OmZ2 = 125°
Omz3 = 55°
OmZ8= 55°
m212 = 100°
OmZ14 = 100°

m∠2 = 125° is correct

m∠8 = 55° is correct

m∠14 = 100° is correct

Step-by-step explanation:

Let us solve the question using the angle formed with parallel lines

∵ Lines e and f are parallel

∴ m∠1 = m∠5 ⇒ corresponding angles

∵ m∠5 = 55°

∴ m∠1 = 55°

∵ ∠1 and ∠2 are linear pair angles

∴ m∠1 + m∠2 = 180°

→ Substitute ∠1 by 55°

∴ 55 + m∠2 = 180

→ Subtract 55 from both sides

∴ m∠2 = 125°

∴ m∠2 = 125° is correct

∵ ∠2 and ∠3 are vertically opposite angles

∴ m∠2 = m∠3

∵ m∠2 = 125°

∴ m∠3 = 125°

∴ m∠3 = 55° is incorrect

∵ ∠5 and ∠8 are vertically opposite angles

∴ m∠5 = m∠8

∵ m∠5 = 55°

∴ m∠8 = 55°

∴ m∠8 = 55° is correct

∵ ∠9 and ∠12 are vertically opposite angles

∴ m∠9 = m∠12

∵ m∠9 = 80°

∴ m∠12 = 80°

∴ m∠12 = 100° is incorrect

∵ ∠12 and ∠14 are interior supplementary angles

∴ m∠12 + m∠14 = 180°

→ Substitute ∠12 by 80°

∴ 80 + m∠14 = 180

→ Subtract 80 from both sides

∴ m∠14 = 100°

∴ m∠14 = 100° is correct

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