Angle Relationships: Grade 7 Math Test – PDF Download

Question 1: Complement and supplement (2 points)

1. Find the complement of \(64^{\circ}\). (1 point)
2. Find the supplement of \(64^{\circ}\). (1 point)

Question 2: Vertical angles (2 points)

Two lines cross as shown. Find the measures of angles \(a\), \(b\), and \(c\).

1. Find \(a\). (1 point)
2. Find \(b\) and \(c\). (1 point)

Question 3: Equation on a line (2 points)

The angles shown lie along a straight line.

1. Find \(x\). (1 point)
2. Find the measure of the larger angle. (1 point)

Question 4: Complementary equation (3 points)

Two complementary angles measure \((x+14)^{\circ}\) and \((2x-5)^{\circ}\).

1. Write and solve an equation for \(x\). (2 points)
2. Find the measure of each angle. (1 point)

Question 5: Vertical angles equation (3 points)

Two lines cross as shown.

1. Write and solve an equation to find \(x\). (2 points)
2. Find the measure of angle \(y\). (1 point)

Question 6: Checking a claim (2 points)

Jamal says that angles measuring \(70^{\circ}\) and \(100^{\circ}\) are supplementary.

1. Is Jamal correct? Explain. (1 point)
2. Find the measure of an angle that is supplementary to \(70^{\circ}\). (1 point)

Question 7: Road intersection (3 points)

A side street meets a straight highway. The angles it makes with the highway measure \((2x+20)^{\circ}\) and \((x+10)^{\circ}\).

1. Write an equation. (1 point)
2. Solve for \(x\). (1 point)
3. Find both angle measures. (1 point)

Question 8: Three angles on a line (3 points)

Three adjacent angles form a straight line.

1. Write an equation. (1 point)
2. Solve for \(x\). (1 point)
3. Find the largest angle. (1 point)

⬇ Download the Grade 7 Angle Relationships test (PDF, 83 KB)

See every chapter on the Grade 7 math page.