SOLUTION: if measurement <2 equals 4 time the measure of <1 what is <2. ( and the picture on my worksheet is supplementary angle.)

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Question 658143: if measurement <2 equals 4 time the measure of <1 what is <2. ( and the picture on my worksheet is supplementary angle.)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Supplementary angles are pairs of angles that add up to 180 degrees.
if measurement <2=beta equals 4 time the measure of <1=alpha, then
measure<beta=4%2Aalpha........1
alpha%2Bbeta=180...............2
__________________________________solve the system...beta from equation 1 plug in 2


alpha%2B4%2Aalpha=180......solve for alpha
5%2Aalpha=180
alpha=180%2F5
highlight%28alpha=36%29
now find beta
beta=4%2Aalpha........1
beta=4%2A36
highlight%28beta=144%29