Question

Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°.

Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15.
Which angle measures are correct? Select three options.

mAngle2 = 125°
mAngle3 = 55°
mAngle8= 55°
mAngle12 = 100°
mAngle14 = 100°

Answer 1

Answer:

m<2 = 125 degrees

m<8 = 55 degrees

m<14 = 100 degrees

Step-by-step explanation:

Given that:

Lines e and f are parallel.

m<5 = 55 degrees

m<9 = 80 degrees

m<5 = m<1 = 55 degrees (corresponding angle)

m<1 + m<2 = 180 (sum of angle on a straight line)

Solve:

55 + m<2 = 180

m<2 = 180 - 55

m<2 = 125 degrees

As well as :

m<5 = m<8 = 55 degrees

m<9 = m<13 = 80 degrees

m<13 + m<14 = 180

Therefore:

80 + m<14 = 180

m<14 = 180 - 80

m<14 = 100 degrees

Hence answer is:

m<2 = 125 degrees

m<8 = 55 degrees

m<14 = 100 degrees

~Lenvy~

Answer 2

Answer: Option 1, option 3, & option 5 or

A. m∠2 = 125°,  

C. m∠8= 55° &

E. m∠14 = 100°.

Step-by-step explanation:   The answers are correct I got them right on Edge 2022 quiz. The proof is shown below.  :)