adjacent angles
Adjacent angles are two angles that share a common vertex and a common side, but do not overlap
Adjacent angles are two angles that share a common vertex and a common side, but do not overlap. In other words, they are angles that are side by side, with one side in common. The non-shared sides of adjacent angles form a straight line, also known as a linear pair.
To visualize this, imagine you have two intersecting lines. The angles formed on either side of the intersection point are adjacent angles.
Adjacent angles are often encountered when studying geometry and trigonometry. They have several important properties:
1. Sum of Adjacent Angles: The sum of adjacent angles always equals 180 degrees. Since the non-shared sides of adjacent angles form a straight line, they add up to a straight angle.
2. Complementary Angles: If the sum of two adjacent angles is equal to 90 degrees, they are known as complementary angles. Complementary angles form a right angle when combined.
3. Supplementary Angles: If the sum of two adjacent angles is equal to 180 degrees, they are called supplementary angles. Supplementary angles form a straight angle when combined.
4. Transversal and Adjacent Angles: When a transversal intersects two parallel lines, the angles formed on the same side of the transversal and between the parallel lines are adjacent angles.
In geometry problems, understanding and recognizing adjacent angles is crucial for accurately solving problems and proving theorems.
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