Easy Level Worksheet Questions
Note: Answer each question with steps and explanation. Write down the answers on sheet and submit to the school subject teacher.
Lines and angles form the foundation of geometry. Understanding basic angle relationships, parallel lines, and triangle properties helps us solve geometric problems systematically.
First, let's explore fundamental concepts of lines, angles, and their relationships.
1. What is the sum of angles on a straight line?
Awesome! Angles on a straight line always sum to 180°.
2. If two lines intersect, how many pairs of vertically opposite angles are formed?
Great job! Two intersecting lines form 2 pairs of vertically opposite angles.
3. Name the angle pair: Two angles whose sum is 90°.
Perfect! Angles that sum to 90° are called complementary angles.
4. Name the angle pair: Two angles whose sum is 180°.
Excellent! Angles that sum to 180° are called supplementary angles.
5. Find the complement of 65°.
Super! Complement = 90° - 65° = 25°.
6. Find the supplement of 120°.
That's correct! Supplement = 180° - 120° = 60°.
7. State whether vertically opposite angles are equal or not.
Well done! Vertically opposite angles are always equal.
8. In a triangle, if two angles are 60° and 80°, find the third angle.
Brilliant! Third angle = 180° - 60° - 80° = 40°.
9. What is the sum of the three angles of a triangle?
You nailed it! Triangle angles always sum to 180°.
10. If two lines are parallel, what is the sum of co-interior angles?
Perfect! Co-interior angles on parallel lines sum to 180°.
Drag each relationship to its correct category:
Part B: Short Answer Questions (2 Marks Each)
1. If one angle of a linear pair is 50°, find the other angle.
Step 1: Understand linear pair property
Linear pair angles are
Step 2: Calculate other angle
Other angle = 180° - 50° =
Excellent! The other angle is 130°.
2. The sum of two supplementary angles is 180°. If one is 125°, find the other.
Step 1: Apply supplementary angle property
Supplementary angles sum to
Step 2: Calculate the other angle
Other angle = 180° - 125° =
Perfect! The other supplementary angle is 55°.
3. In a right triangle, one acute angle is 40°. Find the other acute angle.
Step 1: Identify known angles
Right angle =
One acute angle =
Step 2: Apply triangle angle sum
Sum of angles in triangle =
Other acute angle = 180° - 90° - 40° =
Great work! The other acute angle is 50°.
4. Two angles are complementary. If one is 35°, find the other.
Step 1: Understand complementary property
Complementary angles sum to
Step 2: Calculate the other angle
Other angle = 90° - 35° =
Excellent! The other complementary angle is 55°.
5. Find the measure of each angle if they form a pair of equal supplementary angles.
Step 1: Set up equation
Let each angle = x, the pair of equal supplementary angles = x + x =
Since supplementary: 2x =
Step 2: Solve for x
2x = 180°
x =
Step 3: Verify
Each angle =
Outstanding! Each equal supplementary angle measures 90°.
Test your understanding with these multiple choice questions:
For each question, click on the correct answer:
1. Complement of 25° is:
(a) 55° (b) 65° (c) 75° (d) 85°
Super job! Complement = 90° - 25° = 65°.
2. Supplement of 110° is:
(a) 60° (b) 70° (c) 80° (d) 90°
Well done! Supplement = 180° - 110° = 70°.
3. Vertically opposite angles are:
(a) Equal (b) Unequal (c) Always 90° (d) None
That's right! Vertically opposite angles are always equal.
4. The sum of the angles of a triangle is:
(a) 180° (b) 90° (c) 360° (d) 270°
Correct! Triangle angles always sum to 180°.
5. If two angles are supplementary and equal, each is:
(a) 45° (b) 60° (c) 90° (d) 120°
Fantastic! If x + x = 180°, then x = 90°.