Question

Draw two pair of angles, name the angles and prove that all linear pairs are adjacent angles but all adjacent angles are not linear pairs.​

Answer 1

Step-by-step explanation:

Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but do not overlap.) ... A Linear Pair is two adjacent angles whose non-common sides form opposite rays. ∠1 and ∠2 form a linear pair.

Answer 2

Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but do not overlap.)

adjangles

∠1 and ∠2 are adjacent angles.

∠ABC and ∠1 are NOT adjacent angles.

(∠ABC overlaps ∠1.)

divider

bullet A Linear Pair is two adjacent angles whose non-common sides form opposite rays.

linearpair

∠1 and ∠2 form a linear pair.

The line through points A, B and C is a straight line.

∠1 and ∠2 are supplementary.

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