Angles made by a transversal: solve for x

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Ari draws two parallel rails DF and QS crossed by a road UV. Why is m∠FGH = m∠GHQ?

    • Corresponding angles are equal
    • Alternate interior angles are equal
    • Same-side interior angles add to 180°
    • Vertical angles are equal
  2. Bo draws two parallel rails DF and QS crossed by a road UV. Why do m∠DGH and m∠GHQ add to 180°?

    Use the picture in question 1.

    • Same-side interior angles add to 180°
    • Angles in a linear pair add to 180°
    • Corresponding angles are equal
    • Alternate interior angles are equal
  3. Jun draws two parallel rails DF and QS crossed by a road UV. Why is m∠DGH = m∠QHV?

    Use the picture in question 1.

    • Corresponding angles are equal
    • Alternate exterior angles are equal
    • Alternate interior angles are equal
    • Same-side interior angles add to 180°
  4. Kira draws two parallel rails DF and QS crossed by a line UV. m∠DGH = (4x − 6)° and m∠GHS = (2x + 24)°. What is m∠DGH, in degrees?

    Use the picture in question 1.

  5. Milo draws two parallel tracks DF and QS crossed by a line UV. m∠UGF = (5x − 12)° and m∠GHS = (3x + 16)°. What is m∠GHS, in degrees?

    Use the picture in question 1.

  6. Noah draws two parallel strings DF and QS crossed by a line UV. m∠DGH = (6x − 10)° and m∠GHQ = (4x + 10)°. What is m∠DGH, in degrees?

    Use the picture in question 1.

  7. Pia draws parallel rails DF and QS crossed by a road UV. m∠UGF = (3x + 4)° and m∠QHV = (5x − 22)°. What is m∠FGH, in degrees?

    Use the picture in question 1.

  8. Ren draws parallel rails DF and QS crossed by a road UV. m∠DGH = (2x + 15)° and m∠GHS = (4x − 9)°. What is m∠FGH, in degrees?

    Use the picture in question 1.

  9. Tala draws parallel rails DF and QS crossed by a road UV. m∠FGH = (6x + 5)° and m∠GHS = (4x + 15)°. What is m∠UGF, in degrees?

    Use the picture in question 1.

  10. Zee draws parallel rails DF and QS crossed by a road UV. m∠UGD = (7x − 11)° and m∠GHQ = (4x + 31)°. What is m∠DGH, in degrees?

    Use the picture in question 1.

PencilGopencilgo.com

Angles made by a transversal: solve for x

Answer Key - Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

  1. Ari draws two parallel rails DF and QS crossed by a road UV. Why is m∠FGH = m∠GHQ?

    • Corresponding angles are equal
    • Alternate interior angles are equal
    • Same-side interior angles add to 180°
    • Vertical angles are equal
  2. Bo draws two parallel rails DF and QS crossed by a road UV. Why do m∠DGH and m∠GHQ add to 180°?

    Use the picture in question 1.

    • Same-side interior angles add to 180°
    • Angles in a linear pair add to 180°
    • Corresponding angles are equal
    • Alternate interior angles are equal
  3. Jun draws two parallel rails DF and QS crossed by a road UV. Why is m∠DGH = m∠QHV?

    Use the picture in question 1.

    • Corresponding angles are equal
    • Alternate exterior angles are equal
    • Alternate interior angles are equal
    • Same-side interior angles add to 180°
  4. Kira draws two parallel rails DF and QS crossed by a line UV. m∠DGH = (4x − 6)° and m∠GHS = (2x + 24)°. What is m∠DGH, in degrees?

    Use the picture in question 1.

    54
  5. Milo draws two parallel tracks DF and QS crossed by a line UV. m∠UGF = (5x − 12)° and m∠GHS = (3x + 16)°. What is m∠GHS, in degrees?

    Use the picture in question 1.

    58
  6. Noah draws two parallel strings DF and QS crossed by a line UV. m∠DGH = (6x − 10)° and m∠GHQ = (4x + 10)°. What is m∠DGH, in degrees?

    Use the picture in question 1.

    98
  7. Pia draws parallel rails DF and QS crossed by a road UV. m∠UGF = (3x + 4)° and m∠QHV = (5x − 22)°. What is m∠FGH, in degrees?

    Use the picture in question 1.

    137
  8. Ren draws parallel rails DF and QS crossed by a road UV. m∠DGH = (2x + 15)° and m∠GHS = (4x − 9)°. What is m∠FGH, in degrees?

    Use the picture in question 1.

    141
  9. Tala draws parallel rails DF and QS crossed by a road UV. m∠FGH = (6x + 5)° and m∠GHS = (4x + 15)°. What is m∠UGF, in degrees?

    Use the picture in question 1.

    79
  10. Zee draws parallel rails DF and QS crossed by a road UV. m∠UGD = (7x − 11)° and m∠GHQ = (4x + 31)°. What is m∠DGH, in degrees?

    Use the picture in question 1.

    93