Angle Relationships Test – Grade 7 Math (Printable PDF)

Question 1 Complement and supplement (2 points)

For an angle of 29°, calculate (a) its complement and (b) its supplement. (1 point each)

Question 2 Crossing lines (3 points)

Two lines intersect as shown. ∠1 = 118°.

Find the measures of ∠2, ∠3 and ∠4 and name the relationship used for each. (3 points)

Question 3 Supplementary expressions (2 points)

Two angles are supplementary and measure (3x + 14)° and (2x + 16)°. Find x and both angles.

Question 4 Vertical angle equation (3 points)

In the figure the vertical angles measure (6x − 7)° and (4x + 19)°.

1. Write an equation. (1 point)
2. Solve for x. (1 point)
3. Find the measure of each of the four angles. (1 point)

Question 5 Classify and explain (2 points)

(a) Classify each pair as complementary, supplementary or neither: 28° and 62°; 72° and 108°. (1 point) (b) Explain why two obtuse angles cannot be supplementary. (1 point)

Question 6 Angles on a line (3 points)

Solve for x and find all three angles on the straight line.

(3 points)

Question 7 Comparing with its complement (3 points)

An angle measures 6° less than 5 times its complement. Write an equation, solve it, and state the angle and its complement. (3 points)

Question 8 Split right angle (2 points)

A ray splits a right angle into angles of (2x + 3)° and (x + 12)°.

Find x and both angles. (2 points)