Angles made by a transversal: solve for x
Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Bo draws two parallel rails DF and QS crossed by a road UV. Why do m∠DGH and m∠GHQ add to 180°?
- Corresponding angles are equal
- Angles in a linear pair add to 180°
- Same-side interior angles add to 180°
- Alternate interior angles are equal
Esme draws two parallel rails DF and QS crossed by a road UV. Why is m∠UGF = m∠QHV?
Use the picture in question 1.
- Corresponding angles are equal
- Alternate interior angles are equal
- Vertical angles are equal
- Alternate exterior angles are equal
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.
- Same-side interior angles add to 180°
- Alternate exterior angles are equal
- Alternate interior angles are equal
- Corresponding angles are equal
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.
Luz draws two parallel road lines DF and QS crossed by a line UV. m∠FGH = (4x + 7)° and m∠GHS = (3x + 19)°. What is m∠GHS, in degrees?
Use the picture in question 1.
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.
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.
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.
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.
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.