joshua

Geometry “notes”?

Definition of Linear Pair

Term Definition (or parts of it
Linear Pair A pair of adjacent angles formed when two lines intersect. The non-common sides of the angles form a line.
Linear Pair Is Supplementary

Problem:

linear pair image

Given ( \angle 1 = 131^\circ ), find the measure of ( x ) if it forms a linear pair with ( \angle 1).

Solution:

$ \angle 1 + x = 180^\circ $

$ 131^\circ + x = 180^\circ $

$ x = 180^\circ - 131^\circ $

$ x = 49^\circ $ ]

TLDR; linear pair = supplementary soo x = 180 - 131, which is 49