Understanding Adjacent Angles | Exploring their Properties and why they Always Add up to 180 Degrees

Adjacent angles add up to 180 degrees

When two angles share a common vertex and a common side, they are called adjacent angles

When two angles share a common vertex and a common side, they are called adjacent angles. The key property of adjacent angles is that their measures add up to 180 degrees.

To understand why adjacent angles add up to 180 degrees, we need to consider the concept of a straight angle. A straight angle is an angle that measures exactly 180 degrees, forming a straight line. Imagine a line segment with two adjacent angles on either side.

Let’s call the two adjacent angles angle A and angle B. When angle A is combined with angle B, their measures should add up to a straight angle, which is 180 degrees. In other words, A + B = 180 degrees.

This property holds true regardless of the measures of angle A and angle B. They could be acute angles, obtuse angles, or even right angles. As long as the angles are adjacent, their measures will always add up to 180 degrees.

For example, let’s say angle A measures 50 degrees. If we want angle B to be adjacent to angle A, then angle B would need to measure 180 degrees – 50 degrees = 130 degrees in order for the sum to be 180 degrees.

In summary, adjacent angles refer to angles that share a common vertex and a common side. The property of adjacent angles is that their measures add up to 180 degrees, forming a straight angle. This property holds true for all types of adjacent angles, regardless of their individual measures.

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