SOLUTION: If angle 1 and angle 2 are supplementary angles and if the measure of angle 2 is 17 times the measure of angle 1, determine the measures of the two angles.

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Question 445970: If angle 1 and angle 2 are supplementary angles and if the measure of angle 2 is 17 times the measure of angle 1, determine the measures of the two angles.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

recall: Supplementary Angles add up to 180°.

angle alpha and angle beta are supplementary angles:..=> ..alpha%2Bbeta=180

if the measure of angle beta is 17 times the measure of angle alpha:..=> ..beta=17%2Aalpha
now, substitute beta in alpha%2Bbeta=180 and find alpha

alpha%2B17%2Aalpha=180
18%2Aalpha=180
alpha=180%2F18
alpha=10....now find beta
beta=17%2A10
beta=170
so, your angles are:alpha=10 and beta=170