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Quiz Chapter 8: Lines and Angles

10 questions · Form 1 Mathematics Bab 8: Lines and Angles

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. Given two parallel lines intersected by a transversal, if an alternate angle pair is (x + 20)° and 75°, find x.

  1. 55
  2. 95
  3. 105
  4. 85
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Answer: A

Alternate angles are equal: x + 20 = 75 => x = 55.

2. If the angle of elevation of a kite from a person standing on the ground is 42°, what is the angle of depression of the person from the kite?

  1. 48°
  2. 138°
  3. 42°
  4. 90°
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Answer: C

The angle of elevation from point A to point B is equal to the angle of depression from point B to point A due to alternate interior angles.

3. If angle A and angle B are supplementary, and angle A is twice the measure of angle B, find the measure of angle B.

  1. 120°
  2. 60°
  3. 30°
  4. 90°
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Answer: B

A + B = 180°. Given A = 2B, so 2B + B = 180 => 3B = 180 => B = 60°.

4. If two interior angles on the same side of a transversal are (2x)° and 80°, find x given the lines are parallel.

  1. 50
  2. 40
  3. 100
  4. 80
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Answer: A

Interior angles on the same side of a transversal add up to 180°. 2x + 80 = 180 => 2x = 100 => x = 50.

5. What is the instrument used to draw perpendicular bisectors and construct precise angles without measuring degrees?

  1. Protractor
  2. Pair of compasses
  3. Set square
  4. Measuring tape
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Answer: B

Geometric constructions strictly require a straightedge (ruler) and a pair of compasses.

6. What are conjugate angles?

  1. Two angles that add up to 90°
  2. Two angles that add up to 180°
  3. Two angles that add up to 360°
  4. Two angles that are equal to each other
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Answer: C

Conjugate angles are two angles whose sum is equal to 360° (a full rotation).

7. An observer at the top of a lighthouse looks down at a boat on the sea. What is the angle between the horizontal line of sight and the observer's line of sight to the boat called?

  1. Angle of elevation
  2. Reflex angle
  3. Angle of depression
  4. Interior angle
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Answer: C

The angle formed between the horizontal line of sight and an object below the observer is called the angle of depression.

8. If angle x and angle y are complementary angles, and x = 35°, what is the value of y?

  1. 55°
  2. 145°
  3. 225°
  4. 65°
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Answer: A

Complementary angles add up to 90°. Therefore, y = 90° - 35° = 55°.

9. What type of angle measures between 180° and 360°?

  1. Obtuse angle
  2. Acute angle
  3. Reflex angle
  4. Right angle
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Answer: C

A reflex angle is defined as an angle that is greater than 180° but less than 360°.

10. Four angles surrounding a point are 2x°, 3x°, 100°, and 110°. Find the value of x.

  1. 30
  2. 50
  3. 150
  4. 300
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Answer: A

Sum of angles at a point = 360°. 2x + 3x + 100 + 110 = 360 => 5x + 210 = 360 => 5x = 150 => x = 30.

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