Adjacent Angles
Two angles that share a common side and have the same vertex
Adjacent angles are any two angles that share a common vertex and a common side, but do not overlap. In other words, they are side-by-side angles that share a ray and a vertex, and together they form a straight line, also known as a linear angle.
When two angles are adjacent, their sum is equal to the measure of the straight line or the linear angle formed by them. Therefore, if we know the measure of one of the adjacent angles, we can easily find the measure of the other angle by subtracting the measure of the known angle from the measure of the linear angle.
Adjacent angles are important in geometry and trigonometry because they are commonly encountered in real-life situations, such as in the construction of buildings, bridge structures, and other engineering projects. Understanding adjacent angles allows us to calculate angles and distances accurately, which is essential for many practical applications.
Examples of adjacent angles include the angles formed by the hands of a clock, the corners of a rectangular room, and the sides of a triangle.
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