Triangles — Flashcards
ICSE · Class 6 · Mathematics
28 flashcards for Triangles (ICSE Class 6 Mathematics) to test yourself on key terms and facts. Sample: "In a triangle, two angles are 50° and 60°."
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In a triangle, two angles are 50° and 60°. Find the third angle.
Answer
Step 1: Sum of all angles in a triangle = 180° Step 2: Add given angles → 50° + 6or 60° = 110° Step 3: Subtract from 180° → 180° − 110° = 70° Answer: The third angle is 70°.
One angle of a triangle is 90°, and another is 35°. What is the measure of the third angle?
Answer
Step 1: Sum of angles = 180° Step 2: One angle is 90° (right angle), second is 35° Step 3: 90° + 35° = 125° Step 4: 180° − 125° = 55° Answer: The third angle is 55°.
An exterior angle of a triangle is 120°, and one of the opposite interior angles is 45°. Find the other opposite interior angle.
Answer
Step 1: Exterior angle = sum of two opposite interior angles Step 2: 120° = 45° + x Step 3: x = 120° − 45° = 75° Answer: The other opposite interior angle is 75°.
In triangle ABC, ∠A = 40°, ∠B = x, ∠C = 2x. Find the value of x.
Answer
Step 1: Sum of angles = 180° Step 2: 40° + x + 2x = 180° Step 3: 40° + 3x = 180° Step 4: 3x = 140° → x = 140° / 3 ≈ 46.67° Answer: x ≈ 46.67°…
The exterior angle of a triangle is 100°. If the two interior opposite angles are equal, what is each of them?
Answer
Step 1: Exterior angle = sum of two opposite interior angles Step 2: Let each angle = x → x + x = 100° Step 3: 2x = 100° → x = 50° Answer: Each interior opposite angle is 50°.
In a triangle, one angle is 30°, another is 70°. Is the triangle acute, obtuse, or right-angled?
Answer
Step 1: Find third angle → 180° − (30° + 70°) = 80° Step 2: All angles: 30°, 70°, 80° — all less than 90° Step 3: Since all angles are acute, it is an acute-angled triangle. Answer: Acute-angled trian…
One angle of a triangle is 100°. What type of triangle is it?
Answer
Step 1: One angle is 100°, which is greater than 90° Step 2: An angle > 90° is obtuse Step 3: A triangle with one obtuse angle is an obtuse-angled triangle Answer: Obtuse-angled triangle.
Can a triangle have two right angles? Why or why not?
Answer
Step 1: One right angle = 90° Step 2: Two right angles = 90° + 90° = 180° Step 3: Sum of all three angles in a triangle = 180° Step 4: So, third angle would be 0°, which is not possible Answer: No, a …
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