Angles Basics

 

Basic Angle Properties

Understanding basic angle rules is essential for solving geometric problems.

Key Angle Properties:

• Angles around a point add up to $360 \degree$.

• Angles on a straight line add up to $180 \degree$.

• Vertically opposite angles are equal.

 

 

 

Worked Example: Find $x$ and $y$ in the diagram.

1.Vertically opposite angles are equal:

2. Angles on a straight line add up to 180°:

$$x + y + 98 = 180$$

$$25 + y + 98 = 180$$

$$123 + y = 180$$

 

3. Solve for $y$:

$$y = 180 -123 = 57 \degree$$

Final Answer: $x = 25 \degree$, $y = 57 \degree$