- A75
- B25
- C60
- D90
Step-by-Step Solution
→ → → . The angles are 75°, 60° and 45°, so the largest is 75°. Check: 75 + 60 + 45 = 180. Trap: answering 25, which is only the value of and not an angle at all.
Answer: A) 75
The three angles of a triangle are °, ° and °. Find the largest angle in degrees.
Class 7The Triangle and its PropertiesTriangles
Key idea: Exterior angle property
Extend one side of a triangle past a vertex. The angle formed outside the triangle is the **exterior angle** at that vertex.
**Exterior angle = sum of the two opposite interior angles.**
So if the two non-adjacent interior angles are 50° and 60°, the exterior angle = 50° + 60° = 110°.
Why? The exterior angle and the adjacent interior angle form a linear pair (sum 180°), and the three interior angles also sum to 180°. Subtract: exterior = sum of the other two interior angles.
**Exterior angle = sum of the two opposite interior angles.**
So if the two non-adjacent interior angles are 50° and 60°, the exterior angle = 50° + 60° = 110°.
Why? The exterior angle and the adjacent interior angle form a linear pair (sum 180°), and the three interior angles also sum to 180°. Subtract: exterior = sum of the other two interior angles.
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