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Angles of a linear pair are _________ as well as ________

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To fill in the blanks in the statement "Angles of a linear pair are _________ as well as ________", we need to understand the properties of linear pair angles. **Step-by-Step Solution:** 1. **Understanding Linear Pair Angles**: - A linear pair consists of two adjacent angles formed when two lines intersect. The angles share a common vertex and a common side. 2. **Sum of Angles**: - The defining property of linear pair angles is that the sum of the two angles is equal to 180 degrees. If we denote the two angles as \( x \) and \( y \), we can say: \[ x + y = 180^\circ \] 3. **Identifying the Types of Angles**: - Since the sum of the angles is 180 degrees, we can classify these angles as **supplementary angles**. - Additionally, because they are adjacent (they share a common side and vertex), we can classify them as **adjacent angles**. 4. **Filling in the Blanks**: - Therefore, we can fill in the blanks in the statement: - Angles of a linear pair are **adjacent** as well as **supplementary**. **Final Answer**: Angles of a linear pair are **adjacent** as well as **supplementary**. ---
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