Level 3 · Challenge ← Back to lesson

Points, Lines, and Angles: Practice

12 multiple-choice questions, progressively harder.

Level 3 · Challenge 0 / 12 answered

Question 1 of 12

1
Two angles are complementary. One angle is $10^\circ$ more than the other. What is the measure of the larger angle?

Answer choices for question 1 A $40^\circ$ B $50^\circ$ C $45^\circ$ D $80^\circ$
2
In the figure, a ray rises from a point on a straight line, splitting the straight angle into two angles measuring $(3x + 10)^\circ$ and $(2x - 5)^\circ$ , so the two angles form a linear pair. What is the measure of the first angle, $(3x + 10)^\circ$ ?

Answer choices for question 2 A $115^\circ$ B $120^\circ$ C $35^\circ$ D $65^\circ$
3
In the figure, two straight lines cross. The two marked angles are vertical angles (directly opposite each other), measuring $(4x - 10)^\circ$ and $(3x + 20)^\circ$ . What is the measure of each angle?

Answer choices for question 3 A $110^\circ$ B $30^\circ$ C $100^\circ$ D $70^\circ$
4
Two supplementary angles are in the ratio $2 : 3$ . What is the measure of the larger angle?

Answer choices for question 4 A $60^\circ$ B $90^\circ$ C $108^\circ$ D $72^\circ$
5
In the figure, two parallel lines (matching chevrons) are cut by a transversal. The angle marked at the upper crossing measures $65^\circ$ , and $x$ marks its corresponding angle at the lower crossing. What is the measure of $x$ ?

Answer choices for question 5 A $115^\circ$ B $65^\circ$ C $25^\circ$ D $130^\circ$
6
In the figure, two parallel lines (matching chevrons) are cut by a transversal. The interior angle marked at the upper crossing measures $115^\circ$ , and $x$ marks its alternate interior angle at the lower crossing (on the opposite side of the transversal, between the lines). What is the measure of $x$ ?

Answer choices for question 6 A $245^\circ$ B $65^\circ$ C $57.5^\circ$ D $115^\circ$
7
In the figure, three rays from a single point divide the full turn around it into three angles measuring $x^\circ$ , $2x^\circ$ , and $3x^\circ$ . What is the measure of the largest angle?

Answer choices for question 7 A $90^\circ$ B $180^\circ$ C $60^\circ$ D $120^\circ$
8
Two angles form a linear pair. Which statement must be true?

Answer choices for question 8 A They are both acute. B They are equal. C They are complementary. D They are supplementary.
9
Angles $A$ and $B$ are supplementary. Which statement is true?

Answer choices for question 9 A $A$ and $B$ must be equal. B $A$ and $B$ must each be $90^\circ$ . C $A$ and $B$ need not form a linear pair. D $A$ and $B$ must be vertical angles.
10
The complement of an angle is $35^\circ$ . What is the supplement of that same angle?

Answer choices for question 10 A $125^\circ$ B $55^\circ$ C $145^\circ$ D $35^\circ$
11
In the figure, four rays from a single point divide the full turn around it into four angles measuring $2x^\circ$ , $3x^\circ$ , $4x^\circ$ , and $3x^\circ$ . What is the measure of the largest angle?

Answer choices for question 11 A $90^\circ$ B $150^\circ$ C $120^\circ$ D $30^\circ$
12
In the figure, two straight lines cross. Angle $A$ and angle $B$ are vertical angles, with angle $A = 50^\circ$ . Angle $C$ is adjacent to angle $B$ along the line, forming a linear pair with it. What is the measure of angle $C$ ?

Answer choices for question 12 A $50^\circ$ B $40^\circ$ C $90^\circ$ D $130^\circ$

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