Angle Sums

Adjacent Angles

In English, the word adjacent means bordering or neighboring. In geometry, two angles are adjacent if they share a common side but do not overlap:

Two adjacent angles form a third, larger angle when the common side is removed. The measure of the larger angle is the sum of the measures of the two adjacent angles.

When a ray contains the vertex of a given angle and is in its interior, then that ray splits the given angle into two adjacent angles. If those adjacent angle are equal (in measure), then the ray is said to bisect the given angle. In geometry, the word bisect means "cut in half."

Problems

Problem 1

Solution

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Problem 2

Solution

Problem 3

Solution

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