Angles

In the figure below, angles Y and α are adjacent angles. Together they form a straight angle.

In the figure below, angles α and β are vertical angles. Vertical angles are equal. α = β

In the figure below, the lines h and l are parallel. Angles α and Y are congruent angles and equal.

α = Y

Example 1

Angle α is 25 degrees. What is angle β?

Angles α and β together form a full angle.

Example 2

In the figure below, the lines h and l are parallel and angle Y is 35 degrees. What is angle ω?

Angles Y and α are congruent angles, so Y = α and angles α and ω form a straight angle, so

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