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• ∠A = 180° − (50° + 70°) = 60°

Important Insight

The length of the side does NOT affect:

• The sum of angles
• The existence condition (based on angles)

Only angle measures decide whether lines will meet.

Applications in Real Life
• Designing shapes with specific angles
• Architecture and layout planning
• Engineering drawings

Helps in creating precise angular structures

Introduction: Understanding Height in Geometry
In daily life, we often measure the height of objects such as trees, buildings, or people.

In geometry, a similar concept of height exists in triangles, called altitude.
Concept of Altitude
An altitude of a triangle is:

A perpendicular line segment drawn from a vertex to the opposite side.

• The opposite side is called the base
• The altitude represents the height of the triangle

Diagram 1: Altitude of a Triangle