Problema Solution
Angle a and angle b are supplementary angles. The measure of angle a is 8 times the measure of angle b. Find the measure of angles a and 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 angles:
a + b = 180
The measure of angle a is 8 times the measure of angle b:
a = 8b
by solving the system of equations:
a + b = 180
a = 8b
we find:
a = 160 degrees
b = 20 degrees
click here to see the step by step solution of the system of equations:
the measure of angle a is 160 degrees.
the measure of angle b is 20 degrees.