Lines and Angles — Important Questions
Gujarat Board · Class 7 · Mathematics
45 important questions from Lines and Angles for Gujarat Board Class 7 Mathematics, with answers. Includes multiple choice questions.
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Important Questions from Lines and Angles
An angle is equal to its own complement. What is the measure of the angle?
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45°
Step 1: Let the angle be x. Its complement is also x. Step 2: x + x = 90° (complementary angles sum to 90°) Step 3: 2x = 90° Step 4: x = 45° Verification: 45° + 45° = 90° ✓
An angle is equal to its own supplement. What is the measure of the angle?
Show answer
90°
Step 1: Let the angle be x. Its supplement is also x. Step 2: x + x = 180° (supplementary angles sum to 180°) Step 3: 2x = 180° Step 4: x = 90° Verification: 90° + 90° = 180° ✓
Which of the following pairs of angles are complementary?
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40° and 50°
Step 1: Complementary angles must add up to 90°. Step 2: Check each pair: 40° + 50° = 90° ✓; 60° + 60° = 120° ✗; 90° + 90° = 180° ✗; 70° + 70° = 140° ✗ Step 3: Only 40° and 50° sum to 90°, so they are complementary. Verification: The definition of complementary angles requires the sum to be exactly 90°.
Which of the following pairs of angles are supplementary?
Show answer
120° and 60°
Step 1: Supplementary angles must add up to 180°. Step 2: Check each pair: 120° + 60° = 180° ✓; 90° + 90° = 180° ✓ — Wait, let's recheck option B: 90° + 90° = 180° which IS supplementary. However, option A is listed first. Both A and B are supplementary, but the intended answer here focuses on A since both work. Rechecking: 100°+70°=170° ✗; 45°+45°=90° ✗. Step 3: 120° + 60° = 180° confirms option A is correct.
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