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Olympiad (Class 7) Lines and Angles — practice questions

Explore 43 free Lines and Angles questions in Olympiad (Class 7) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Lines and Angles questions and exercises with answers

Showing questions 1–30 of 43.

An angle measures 65°. What is the measure of its supplement?Read the answer and worked solution →Two angles are complementary and one of them is 38°. Find the other angle.Read the answer and worked solution →Two complementary angles are such that one is double the other. What is the smaller angle?Read the answer and worked solution →Two angles form a linear pair and are in the ratio 2 : 3. What is the larger angle?Read the answer and worked solution →Two straight lines cross and one of the four angles formed is 47°. What is the sum of the other three angles?Read the answer and worked solution →What kind of angle is one that measures 215°?Read the answer and worked solution →Which of these angle measures is an obtuse angle?Read the answer and worked solution →How many degrees are there in three quarters of a full turn?Read the answer and worked solution →At 4 o'clock, what is the smaller angle between the hour hand and the minute hand of a clock?Read the answer and worked solution →At exactly 6 o'clock, the two hands of a clock make which type of angle?Read the answer and worked solution →Through how many degrees does the minute hand of a clock turn in 15 minutes?Read the answer and worked solution →A transversal cuts two lines. How many angles does it form in all with those two lines?Read the answer and worked solution →Out of the 8 angles made by a transversal with two lines, how many lie between the two lines?Read the answer and worked solution →A transversal cuts two parallel lines and one angle is 70°. What is its corresponding angle?Read the answer and worked solution →A transversal makes corresponding angles of 80° and 85° with two lines. The lines are?Read the answer and worked solution →For parallel lines, alternate interior angles are (3x + 10)° and (5x - 30)°. Each angle is?Read the answer and worked solution →Two lines cross, and a pair of vertically opposite angles are (4x + 5)° and (6x - 25)°. What is the measure of each?Read the answer and worked solution →An angle is equal to its own supplement. What is its measure?Read the answer and worked solution →An angle is twice its complement. What is the angle?Read the answer and worked solution →The supplement of an angle is three times the angle itself. What is the angle?Read the answer and worked solution →In a triangle two interior angles are 50° and 60°. What is the exterior angle at the third vertex?Read the answer and worked solution →One acute angle of a right-angled triangle is 35°. What is the other acute angle?Read the answer and worked solution →Two lines in the same plane never meet however far they are extended. What are such lines called?Read the answer and worked solution →A transversal cuts two parallel lines and one of the 8 angles is 40°. How many of the 8 angles equal 40°?Read the answer and worked solution →Which angle pair is on one side of the transversal and between the lines?Read the answer and worked solution →An angle of 74° is bisected. What is the measure of each half?Read the answer and worked solution →A ray bisects each angle of a linear pair. The angle between the two bisectors is?Read the answer and worked solution →Two parallel lines are 4 cm apart at one point. How far apart are they at another point further along?Read the answer and worked solution →A door swings open through one third of a full turn. Through how many degrees has it turned?Read the answer and worked solution →A person faces north and turns clockwise through 225°. Which direction does the person now face?Read the answer and worked solution →

Worked practice questions

An angle measures 65°. What is the measure of its supplement?

  1. 25°
  2. 115°
  3. 125°
  4. 295°
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Correct answer: B. 115°

Supplementary angles add up to 180°, so the supplement is 180° minus 65°, which is 115°.

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Two angles are complementary and one of them is 38°. Find the other angle.

  1. 52°
  2. 142°
  3. 48°
  4. 62°
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Correct answer: A. 52°

Complementary angles add up to 90°, so the other angle is 90° minus 38°, which is 52°.

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Two complementary angles are such that one is double the other. What is the smaller angle?

  1. 45°
  2. 60°
  3. 30°
  4. 20°
Show answer and solution

Correct answer: C. 30°

If the angles are x and 2x then 3x is 90°, so x is 30° and the larger one is 60°.

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