Parallel lines and transversals Knowledge-Based Practice

Questions

1. 1.

   Two parallel lines are intersected by a non-perpendicular transversal, forming four acute angles and four obtuse angles. If the sum of the measures of the four acute angles is 288°, what is the degree measure of each obtuse angle?

   • A) 102°
   • B) 108°
   • C) 112°
   • D) 144°
2. 2.

   Two parallel lines are cut by a transversal such that the measure of an obtuse interior angle is $24^\circ$ more than three times the measure of its consecutive interior angle. What is the measure of the acute interior angle?

   • A) $31^\circ$
   • B) $35^\circ$
   • C) $36^\circ$
   • D) $39^\circ$
3. 3.

   Two parallel lines are intersected by a transversal, forming a pair of corresponding angles with measures $(3x + 15)^\circ$ and $(5x - 25)^\circ$. What is the degree measure of an angle that forms a linear pair with one of these corresponding angles?

   • A) $75^\circ$
   • B) $95^\circ$
   • C) $105^\circ$
   • D) $115^\circ$
4. 4.

   Two parallel lines are intersected by a transversal, forming a pair of alternate interior angles with measures of $(6x - 14)^\circ$ and $(4x + 18)^\circ$. What is the degree measure of these alternate interior angles?

   • A) 16°
   • B) 74°
   • C) 82°
   • D) 98°
5. 5.

   Two parallel lines are intersected by a transversal, forming a pair of consecutive interior angles with measures of $(5x - 20)^\circ$ and $(3x + 40)^\circ$. What is the measure of the larger angle?

   • A) $80^\circ$
   • B) $100^\circ$
   • C) $130^\circ$
   • D) $140^\circ$

Answers and step-by-step solutions appear after you finish the test.