alleryStart learning →A person faces east, turns left 90°, then right 180°. Which way is the person facing?
- North
- South
- East
- West
Show answer and solution
Correct answer: B. South
Turning left from east gives north, and a right turn of 180° from north gives south.
Olympiad (Class 7) Lines and Angles — practice questions — page 2
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.
Practise Lines and Angles with Quill →Lines and Angles questions and exercises with answers
Showing questions 31–43 of 43.
A person faces east, turns left 90°, then right 180°. Which way is the person facing?Read the answer and worked solution →Two parallel lines are cut by a transversal. Corresponding angles are (5x - 10)° and (3x + 30)°. What is each angle?Read the answer and worked solution →When two perpendicular lines cross, how many right angles are formed at the crossing point?Read the answer and worked solution →Three angles sit side by side on a straight line. Two of them are 50° and 70°. What is the third angle?Read the answer and worked solution →Four angles meet at a point. Two measure 90° and 110°, and the other two are equal. What is each of the equal angles?Read the answer and worked solution →Lines AB and CD cross at O. Angle AOC is (2x + 10)° and angle BOD is (3x - 20)°. What is angle AOD?Read the answer and worked solution →A ray stands on a straight line making angles (x + 20)° and (2x - 5)°. What is the larger angle?Read the answer and worked solution →A triangle's exterior angle is 120° and the opposite interior angles are in the ratio 1 : 3. The smaller is?Read the answer and worked solution →For any angle smaller than 90°, how much larger is its supplement than its complement?Read the answer and worked solution →Two parallel lines are cut by a transversal and a pair of consecutive interior angles are equal. What is each of them?Read the answer and worked solution →How many pairs of corresponding angles does a transversal make with two lines?Read the answer and worked solution →Two angles share a vertex and an arm, with no common interior. They are called?Read the answer and worked solution →A line cuts across two other lines at two different points. What is this line called?Read the answer and worked solution →
Worked practice questions
Two parallel lines are cut by a transversal. Corresponding angles are (5x - 10)° and (3x + 30)°. What is each angle?
- 90°
- 80°
- 100°
- 70°
Show answer and solution
Correct answer: A. 90°
Corresponding angles are equal, so 5x - 10 = 3x + 30 gives x = 20, and each angle is 5(20) - 10 = 90°.
When two perpendicular lines cross, how many right angles are formed at the crossing point?
- 1
- 2
- 4
- 8
Show answer and solution
Correct answer: C. 4
If one angle is 90°, its linear pairs are also 90°, so all four angles at the crossing are right angles.
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