Grade 7 Vertical Angles Test Questions and Solutions

📚 Quick Study Guide

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• Definition: Vertical angles are pairs of opposite angles made by intersecting lines.
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• Property: Vertical angles are always congruent (equal in measure).
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• Identifying Vertical Angles: Look for angles that share a vertex and are formed by the intersection of two lines, but are not adjacent.
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• Example: If two lines intersect and one angle measures 60°, the vertical angle opposite it also measures 60°.
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• Solving Problems: If you know the measure of one vertical angle, you automatically know the measure of its vertical angle pair.

✍️ Practice Quiz

1. What are vertical angles?
   1. Angles that add up to 90 degrees.
   2. Angles that are next to each other.
   3. Angles that are opposite each other when two lines intersect.
   4. Angles that add up to 180 degrees.
2. If angle A measures 110°, and angle A and angle B are vertical angles, what is the measure of angle B?
   1. 70°
   2. 90°
   3. 110°
   4. 20°
3. Two lines intersect, forming four angles. If one angle is 45°, what is the measure of its vertical angle?
   1. 45°
   2. 135°
   3. 90°
   4. 180°
4. Which of the following pairs of angles are vertical angles?
   1. Two acute angles next to each other.
   2. Two obtuse angles that share a side.
   3. Two opposite angles formed by intersecting lines.
   4. Two angles that form a straight line.
5. If angle X and angle Y are vertical angles, and angle X = $3x + 10$ and angle Y = $55°$, what is the value of x?
   1. $10°$
   2. $15°$
   3. $25°$
   4. $35°$
6. Angle P and angle Q are vertical angles. If angle P measures $2x$ degrees and angle Q measures $x + 30$ degrees, find the measure of angle P.
   1. $15°$
   2. $30°$
   3. $60°$
   4. $90°$
7. If two lines intersect and one of the angles formed is a right angle ($90°$), what can you conclude about its vertical angle?
   1. It is an acute angle.
   2. It is an obtuse angle.
   3. It is a right angle.
   4. It is a straight angle.