SOLUTION: The measure of angle 1 is five less than four times the measure of angle 2. If angle 1 and angle 2 form a linear pair, what are their measurements?

Question 209580This question is from textbook Geometry
: The measure of angle 1 is five less than four times the measure of angle 2. If angle 1 and angle 2 form a linear pair, what are their measurements? This question is from textbook Geometry

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The measure of angle 1 is five less than four times the measure of angle 2. If angle 1 and angle 2 form a linear pair, what are their measurements?
.
Let x = measure of angle 2
then
4x-5 = measure of angle 1
.
If the angles are linear, this means the sum of the two angles is 180 degs:
x + (4x-5) = 180
5x-5 = 180
5x = 185
x = 37 degrees (angle 2)
.
angle 1:
4x-5 = 4(37)-5 = 148-5 = 143 degrees (angle 1)
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