Myra took a picture of the sky one afternoon when two jet airplanes appeared to draw a pair of parallel lines with their vapor t

Question

2 years ago

14

Myra took a picture of the sky one afternoon when two jet airplanes appeared to draw a pair of parallel lines with their vapor t

rails. The vapor trails from two other jets flying from another direction crossed over the parallel trails. She printed her picture and labeled the angles and lines.
Parallel lines c and d are cut by transversals a and b. All angles are described clockwise, from uppercase left. The intersection of lines c and b form angles: 2, 4, 3, 1. The intersection of lines d and b form angles: 6, 8, 7, 5. The intersection of lines c and a form angles: 10, 12, 11, 9. The intersection of lines a and d form angles: 14, 16, 15, 13.

Assume lines c and d are parallel and Angle2 measures 98°. Which statements are true? Select three options.
mAngle3 = mAngle6 = 98°
mAngle3 = mAngle14 = 98°
mAngle4 = mAngle8 = 82°
mAngle4 = mAngle12 = 82°
mAngle5 = mAngle8 = 82°

Mathematics

1 answer:

kakasveta [241] · Answer 1 · 2023-10-14T17:08:31+03:00

Options 1, 3 and 5. The true statements based on the fact that c and d are parallel are:

m<3 = m<6 = 98 degrees
m<4 = m<8 = 82degrees
m<5 = m<8 = 82 degrees

<h3>How to solve for the angles </h3>

The sum of the angles m<4 + m<3 = 180

m<4 + 82 = 180

m<4 = 180 - 82= 98

From the question we have the first as alternate interior angles. The second is corresponding angles and the last option is vertical angles.