Geometry Basics: The Angle Addition Postulate And Its Applications

Angle Addition Postulate

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The Angle Addition Postulate states that if we have two adjacent angles, then the measure of the larger angle is equal to the sum of the measures of the two smaller angles. In other words, if we have angles A, B, and C, where B is between A and C, then the measure of angle A + the measure of angle B = the measure of angle C.

This postulate is a fundamental concept in geometry and is used extensively in proving theorems related to angles and their measurements. It is also useful in solving various problems related to angles.

One example of how the Angle Addition Postulate can be used is in finding missing angle measures. If we have a triangle, and we know the measures of two of the angles, we can use the Angle Addition Postulate to find the measure of the third angle.

For instance, if we have a triangle with angle measures of 40 degrees and 60 degrees, we can use the Angle Addition Postulate to find the third angle:

measure of angle 1 + measure of angle 2 = measure of angle 3

40 + 60 = measure of angle 3

100 = measure of angle 3

Therefore, the measure of the third angle is 100 degrees.

Overall, the Angle Addition Postulate is a fundamental concept in geometry that is used extensively in solving problems related to angles and their measurements.

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