SOLUTION: angle 1 & 2 are a linear pair. angle 1= x-37, and angle 2 = x+87. Find the measure of each angle

Algebra ->  Angles -> SOLUTION: angle 1 & 2 are a linear pair. angle 1= x-37, and angle 2 = x+87. Find the measure of each angle      Log On


   

Question 949727: angle 1 & 2 are a linear pair. angle 1= x-37, and angle 2 = x+87. Find the measure of each angle
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Linear Pair of angles:
From Latin: linearis - "belonging to a line"
Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°)
if angle 1=++x-37, and angle 2+=+x%2B87, then
%28x-37%29%2B%28x%2B87%29=180...solve for x
2x-37%2B87=180
2x%2B50=180
2x=180-50
2x=130
x=65
now find the measure of each angle:
angle 1=++x-37=>angle 1=++65-37=>angle1=highlight%28+28%29
and angle 2+=+x%2B87=>angle 2+=+65%2B87=>angle2+=highlight%28+152%29