Moderate Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) Define an acute angle with an example. An angle
Example:
Perfect! An acute angle measures between 0° and 90°, like 30°, 45°, or 60°.
(2) Write the measure of a straight angle.
Correct! A straight angle forms a straight line and measures exactly 180°.
(3) If two angles form a linear pair and one angle is 75°, find the other angle.
Excellent! Linear pair angles are supplementary: 180° - 75° = 105°.
(4) Name the instrument used to measure angles.
Perfect! A protractor is the standard instrument for measuring angles.
(5) What is the measure of each angle in an equilateral triangle?
Correct! In an equilateral triangle, all three angles are equal: 180° ÷ 3 = 60°.
Short Answer Questions (2 Marks Each)
Note: Answer each question with steps and explanation in 2-3 sentences. Write down the answers on sheet and submit to the school subject teacher.
(1) The angles of a triangle are in the ratio 2 : 3 : 4. Find the measure of each angle. The angles are:
Excellent! The angles are 40°, 60°, and 80°.
(2) If an angle is 35°, find its complementary angle.
Perfect! The complementary angle is 90° - 35° = 55°.
(3) Two complementary angles are such that one angle is twice the other. Find the angles.
The angles are
Great! The two complementary angles are 30° and 60°.
(4) In a quadrilateral ABCD, ∠A = 90°, ∠B = 80°, ∠C = 75°. Find ∠D. ∠D =
Correct! ∠D = 115°.
(5) Find the value of x if two angles of a linear pair are (3x + 10)° and (2x – 20)°. x =
Excellent! x = 38°.
Long Answer Questions (4 Marks Each)
Note: Answer each question with steps and explanation. Write down the answers on sheet and submit to the school subject teacher.
(1) The measures of the angles of a triangle are (x + 15)°, (2x + 5)°, and (3x – 10)°. Find the value of x and the angles of the triangle. The angles are:
Perfect! x =
(2) In a quadrilateral PQRS, ∠P = (2x + 10)°, ∠Q = (3x – 20)°, ∠R = (x + 30)°, and ∠S = (2x)°. Find the measures of all angles. ∠P =
Excellent! The angles are 95°, 107.5°, 72.5°, and 85°.
(3) Draw an angle of 70° and bisect it. Measure each part. Each part measures:
Correct! Angle bisector divides the angle into two equal parts of 35° each.
(4) Construct a triangle ABC in which BC = 5 cm, ∠B = 60°, and ∠C = 80°. Measure side AC. AC ≈
Good! The constructed triangle will have AC approximately 3.2 cm.
(5) A triangle has one angle of 90°, and the other two angles are in the ratio 1 : 2. Find the measures of these angles. Smaller Angle =
Perfect! The other two angles are 30° and 60°.
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) The sum of the angles in a triangle is:
(a) 90° (b) 120° (c) 180° (d) 360°
Correct! The sum of angles in any triangle is always 180°.
(2) Which of the following is an obtuse angle?
(a) 45° (b) 60° (c) 90° (d) 120°
Correct! An obtuse angle is greater than 90° and less than 180°.
(3) What is the measure of a right angle?
(a) 45° (b) 90° (c) 180° (d) 360°
Correct! A right angle measures exactly 90°.
(4) If two complementary angles are equal, find the measure of each angle.
(a) 30° (b) 45° (c) 60° (d) 90°
Correct! If two equal complementary angles sum to 90°, each angle is 90° ÷ 2 = 45°.
(5) If two angles are supplementary and one is 65°, the other is:
(a) 35° (b) 115° (c) 125° (d) 75°
Correct! Supplementary angles sum to 180°: 180° - 65° = 115°.
(6) An angle that is exactly 90° is called:
(a) Acute (b) Obtuse (c) Right (d) Reflex
Correct! A 90° angle is called a right angle.
(7) Which of these is a reflex angle?
(a) 110° (b) 180° (c) 270° (d) 45°
Correct! A reflex angle is greater than 180° and less than 360°.
(8) The complement of 25° is:
(a) 55° (b) 65° (c) 75° (d) 85°
Correct! Complementary angles sum to 90°: 90° - 25° = 65°.
(9) In a linear pair, if one angle is 40°, the other is:
(a) 140° (b) 60° (c) 120° (d) 80°
Correct! Linear pair angles are supplementary: 180° - 40° = 140°.
(10) The sum of angles in a quadrilateral is:
(a) 90° (b) 180° (c) 270° (d) 360°
Correct! The sum of interior angles in any quadrilateral is 360°.
Angle Properties Challenge
Determine whether these statements about angles are True or False: