Parallel Lines Angles Test – Grade 8 Math (Printable PDF)

Question 1 Triangle and exterior (2 points)

A triangle has two interior angles of 63° and 54°.

1. Find the third interior angle. (1 point)
2. Find the exterior angle at the vertex of the third angle. (1 point)

Question 2 Find three angles (3 points)

In the figure, ℓ ∥ m. Find a, b, and c, and name the angle relationship you used for each.

Question 3 Equation with parallel lines (3 points)

A transversal crosses two parallel lines, and a pair of alternate interior angles measures (6x − 14)° and (4x + 16)°. Find x and the measure of each angle.

Question 4 Triangle with unknowns (3 points)

The interior angles of a triangle measure (x + 8)°, (2x − 4)°, and (3x + 2)°. Find x and the three angles.

Question 5 Exterior angle problem (3 points)

In the figure, the exterior angle at Q measures 138° and ∠P = 49°.

1. Find ∠R. (2 points)
2. Find ∠PQR. (1 point)

Question 6 Similar triangles (2 points)

Triangle 1 has angles of 35° and 80°. Triangle 2 has angles of 80° and 65°. Are the triangles similar? Explain.

Question 7 Are the lines parallel? (2 points)

A transversal crosses lines ℓ and m. The same-side interior angles measure 112° and 78°. Are ℓ and m parallel? Explain.

Question 8 Skate ramp (2 points)

The cross-section of a skate ramp is a right triangle with a 90° angle at the wall and an 18° angle at the ground. Find the angle at the top of the ramp, then the exterior angle formed at the top between the ramp and the extended vertical wall.