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

Respuesta :

ogorwyne

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

How to solve for the angles

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.

Read more on angles here:

https://brainly.com/question/26033691

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