185k views
0 votes
Lines e and f are parallel. The m<9=80° and m<5=55°. Which angle measures are correct? Check all that apply.

Lines e and f are parallel. The m<9=80° and m<5=55°. Which angle measures are-example-1

2 Answers

3 votes
these are the angle measurements and the true measurements are written below the diagram,hope this helps you and question Pls ask me in the comments
Lines e and f are parallel. The m<9=80° and m<5=55°. Which angle measures are-example-1
User Mehr
by
5.5k points
1 vote

Answer with explanation:

m∠9=80°

m∠5=55°

⇒∠3+∠5=180°----[e║f, and these angles are on the same side of transversal c]

→∠3+55°=180°

→∠3=180° -55°

→∠3=125°

→∠3=∠2-----[Vertically Opposite Angles]

1→→∠2=125°-----[True]

2.→→∠3=55°-----[False]

3.→→∠5=∠8=55°-----[Vertically Opposite Angles]----[True]

4.→→m∠9=m∠12=80°

m∠12=100°-----[false]

5.→→∠12 +∠14=180°-----[Lines e and f are parallel, and d is a transversal.]

→→80°+∠14=180°

→→∠14=180°-80°

→→∠14=80°------[True]

6.→→∠14 +∠16=180°----[Interior Angles on the same side of transversal]

→100°+m∠16=180°

→m∠16=80°-----[True]

→→→1,3,5 and 6 are Correct.

User Xiaoxia Lin
by
7.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.