Angle Relationships Quiz
Questions: 16 · 10 minutes
1. A transversal intersects two lines, and a pair of corresponding angles are congruent. What conclusion is supported by the converse of the corresponding angles theorem?
The transversal is perpendicular to both lines
The two lines are parallel
The corresponding angles must also be supplementary
The two lines intersect at a right angle
2. A transversal crosses two parallel lines. A pair of alternate interior angles measure (2x + 10)° and (4x − 30)°. Which statement gives the correct value of x and the measure of each angle?
x = 10, and each angle measures 30°
x = 15, and each angle measures 40°
x = 25, and each angle measures 60°
x = 20, and each angle measures 50°
3. A pair of vertical angles measure (3x + 12)° and (5x − 20)°. What is the measure of each angle?
16°
48°
60°
80°
4. Four angles meet around a single point. Three measure 85°, 110°, and 95°. What is the measure of the fourth angle?
90°
80°
70°
110°
5. Two lines intersect. One of the angles at the intersection measures 74°. What is the measure of the angle directly opposite it?
106°
74°
148°
286°
6. Two angles have measures that add to 90°. What is their relationship?
Vertical angles
Supplementary angles
Complementary angles
Corresponding angles
7. Angle A and angle B share the same vertex and one side, and their interiors do not overlap. Which relationship must they have?
They are vertical
They are adjacent
They are alternate interior
They are corresponding
8. Two parallel horizontal lines are crossed by a transversal. Angle A is outside the lines, above the upper line and left of the transversal. Angle B is outside the lines, below the lower line and right of the transversal. How are A and B related?
Corresponding angles
Same-side exterior angles
Vertical angles
Alternate exterior angles
9. Two parallel lines are crossed by a transversal. One alternate interior angle measures 93°. What is the measure of its alternate interior partner?
93°
97°
267°
87°
10. A vertical line and a horizontal line intersect at right angles. What can you conclude about the four angles formed?
All four angles measure 90°
Only the opposite angles measure 90°
Two angles measure 90° and two measure 180°
Their measures depend on which line is longer
11. Two parallel horizontal lines are crossed by a slanted transversal. An angle lies above the upper line and to the right of the transversal. Which angle is corresponding to it?
The angle above the lower line and right of the transversal
The angle above the upper line and left of the transversal
The angle below the lower line and right of the transversal
The angle below the upper line and left of the transversal
12. Two supplementary angles measure (4x + 10)° and (2x + 20)°. What is the value of x?
20
35
30
25
13. A triangle has remote interior angles of 48° and 67° relative to one exterior angle. What is the measure of that exterior angle?
105°
115°
125°
179°
14. Two adjacent angles form a straight line. If one angle measures 127°, what is the measure of the other angle?
43°
63°
53°
127°
15. Which description defines adjacent angles?
Two non-overlapping angles that share a vertex and one side
Two angles opposite each other when lines intersect
Two angles whose measures always total 180°
Two angles in matching positions at separate intersections
16. A transversal crosses two parallel lines. One interior angle measures 68°. What is the measure of the same-side interior angle paired with it?
22°
68°
292°
112°