Easy Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) Define complementary angles. Two angles whose
Perfect! Two angles are complementary if their sum equals 90°.
(2) Define supplementary angles. Two angles whose
Excellent! Two angles are supplementary if their sum equals 180°.
(3) What is the sum of angles on a straight line?
Correct! The sum of angles on a straight line is always 180°.
(4) Name the angles formed when two lines intersect.
Great! When two lines intersect, they form vertically opposite angles.
(5) State the vertically opposite angles theorem. Vertically opposite angles are
Perfect! Vertically opposite angles are always equal in measure.
Short Answer Questions (2 Marks Each)
Answer each question with proper steps
(1) If two angles are supplementary and one is 60°, find the other.
First angle: 60°
Second angle:
Excellent! Since supplementary angles sum to 180°: 180° - 60° = 120°
(2) Two complementary angles are in the ratio 2 : 3. Find the angles.
First angle (Smaller):
Second angle (Larger):
Perfect! The angles are 36° and 54°.
(3) Find the value of x if two angles are supplementary and one angle is 2x° and the other is (3x - 10)°. x =
Excellent! The value of x is 38°.
(4) Two lines intersect and form one of the angles as 70°. Find all other angles.
Vertically opposite to 70°:
Adjacent angles:
Great! The four angles are: 70°, 110°, 70°, 110°.
(5) Find the value of x if the vertically opposite angles are given as (2x + 10)° and (3x - 20)°. x =
Perfect! The value of x is 30°.
Long Answer Questions (4 Marks Each)
Note: Answer each question with complete proof/steps and clear explanation. Write down the answers on sheet and submit to the school subject teacher.
(1) Prove that if two lines intersect, then the vertically opposite angles are equal.
(2) Two supplementary angles differ by 44°. Find the angles. Smaller Angle =
Excellent! The angles are 112° and 68°.
(3) If two complementary angles differ by 18°, find the angles. Smaller Angle =
Perfect! The angles are 54° and 36°.
(4) The supplement of an angle is four times the angle. Find the angle. Angle =
Excellent! The angle is 36°.
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) If two angles are complementary, their sum is:
(a) 90° (b) 180° (c) 60° (d) 270°
Correct! Complementary angles always sum to 90°.
(2) If two angles are supplementary, their sum is:
(a) 90° (b) 120° (c) 180° (d) 360°
Correct! Supplementary angles always sum to 180°.
(3) Vertically opposite angles are always:
(a) Equal (b) Supplementary (c) Complementary (d) Unequal
Correct! Vertically opposite angles are always equal.
(4) If two lines intersect, how many pairs of vertically opposite angles are formed?
(a) 1 (b) 2 (c) 3 (d) 4
Correct! Two intersecting lines form 2 pairs of vertically opposite angles.
(5) The angle which is equal to its supplement is:
(a) 45° (b) 60° (c) 90° (d) 120°
Correct! 90° is equal to its supplement (180° - 90° = 90°).
(6) The complement of 30° is:
(a) 60° (b) 30° (c) 50° (d) 70°
Correct! Complement of 30° = 90° - 30° = 60°.
(7) The supplement of 110° is:
(a) 70° (b) 60° (c) 80° (d) 50°
Correct! Supplement of 110° = 180° - 110° = 70°.
(8) If one of the complementary angles is x, then the other is:
(a) 90 - x (b) 180 - x (c) x - 90 (d) x + 90
Correct! If one complementary angle is x, the other is 90° - x.
(9) Two supplementary angles are in the ratio 1 : 2. The smaller angle is:
(a) 60° (b) 90° (c) 50° (d) 40°
Correct! If angles are x and 2x, then x + 2x = 180°, so 3x = 180°, x = 60°.
(10) If two lines intersect, the sum of all the angles at the point of intersection is:
(a) 90° (b) 180° (c) 270° (d) 360°
Correct! The sum of all angles around a point is 360°.
Let's practice some more!!!
Great! Remember: Complementary angles sum to 90°, Supplementary angles sum to 180°.
True or False: Angle Properties
Determine whether these statements about angles are True or False: