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Angles and Triangles
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Angles and Triangles
📐 Part 1: Angle Properties
1. What is the sum of interior angles in any triangle?
90°
180°
270°
360°
2. In a right-angled triangle, if one angle is 35°, what is the third angle?
45°
55°
65°
125°
3. Which of the following are types of triangles? (Select all that apply)
Equilateral
Isosceles
Scalene
Obtuse
4. An exterior angle of a triangle is equal to:
The adjacent interior angle
The sum of the two opposite interior angles
Half the sum of all interior angles
90° minus the adjacent interior angle
✏️ Part 2: Problem Solving
5. In triangle ABC, angle A = 65° and angle B = 48°. Calculate angle C.
Answer: Angle C = _______°
6. An isosceles triangle has a base angle of 72°. What is the vertex angle?
Answer: Vertex angle = _______°
7. The exterior angle of a triangle is 115°. If one of the opposite interior angles is 42°, find the other opposite interior angle.
Answer: The other interior angle = _______°
🎨 Part 3: Drawing and Analysis
8. Draw and label an obtuse-angled triangle. Mark all angles and identify which angle is obtuse.
9. Explain the difference between an acute triangle and an obtuse triangle.
10. In your own words, explain why the sum of angles in any triangle is always 180°.
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