Problema Solution
if angle A and angle B are supplementary and angle A is seventeen times as large as angle B, find the measure of angle A and angle B.
Answer provided by our tutors
let
a = the measure of angle A
b = the measure of angle B
angle A and angle B are supplementary
a + b = 180
angle A is seventeen times as large as angle B
a = 7b
by solving the system of equations
a + b = 180
a = 7b
we find
a = 157.5 degrees
b = 22.5 degrees
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the measure of angle A is 157.5 degrees.
the measure of angle B is 22.5 degrees.