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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. 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.

2. 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).

3. 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.

4. Two straight lines intersect at a point. If one angle is 125°, what is the measure of its vertically opposite angle?

  1. 55°
  2. 125°
  3. 180°
  4. 235°
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Answer: B

Vertically opposite angles formed by intersecting lines are equal, so the angle is 125°.

5. 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.

6. Three angles on a straight line are x°, 45°, and 65°. Calculate the value of x.

  1. 110°
  2. 250°
  3. 70°
  4. 80°
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Answer: C

Angles on a straight line sum to 180°. x + 45 + 65 = 180 => x + 110 = 180 => x = 70.

7. 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.

8. If two angles are supplementary and one angle is 110°, what is the other angle?

  1. 250°
  2. 70°
  3. 80°
  4. 90°
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Answer: B

Supplementary angles add up to 180°. Therefore, the second angle is 180° - 110° = 70°.

9. 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°.

10. 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°.

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