Geometry: Fundamental Concept — Flashcards
ICSE · Class 6 · Mathematics
30 flashcards for Geometry: Fundamental Concept (ICSE Class 6 Mathematics) to test yourself on key terms and facts.
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What is the measure of the complement of a 35° angle?
Answer
Step 1: Complementary angles add up to 90°. Step 2: Subtract the given angle from 90°. 90° – 35° = 55°. Answer: 55°…
If two lines intersect and one angle is 40°, what is the measure of its vertically opposite angle?
Answer
Vertically opposite angles are always equal. So, if one angle is 40°, its vertically opposite angle is also 40°. Answer: 40°…
Two complementary angles are in the ratio 2:3. Find the angles.
Answer
Step 1: Let the angles be 2x and 3x. Step 2: Since they are complementary, 2x + 3x = 90° → 5x = 90° → x = 18°. Step 3: 2x = 36°, 3x = 54°. Answer: 36° and 54°…
An angle measures 110°. What is its supplement?
Answer
Step 1: Supplementary angles add up to 180°. Step 2: Subtract the given angle from 180°. 180° – 110° = 70°. Answer: 70°…
Two supplementary angles are in the ratio 4:5. Find the angles.
Answer
Step 1: Let the angles be 4x and 5x. Step 2: Since they are supplementary, 4x + 5x = 180° → 9x = 180° → x = 20°. Step 3: 4x = 80°, 5x = 100°. Answer: 80° and 100°…
In the figure, AOB is a straight line. If ∠AOC = 60° and ∠COB = x, find x.
Answer
Step 1: AOB is a straight line → ∠AOB = 180°. Step 2: ∠AOC + ∠COB = 180° → 60° + x = 180°. Step 3: x = 180° – 60° = 120°. Answer: 120°…
If two adjacent angles form a linear pair and one is 75°, what is the other?
Answer
Step 1: Linear pair means the sum is 180°. Step 2: 180° – 75° = 105°. Answer: 105°…
An angle is equal to its complement. What is its measure?
Answer
Step 1: Let the angle be x. Then, x + x = 90° → 2x = 90° → x = 45°. Answer: 45°…
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