Problema Solution
The measure of an angle of a parallelogram is 18 degrees less than 5 times the measure of an adjacent angle. Find all the measures of all the interior angles of the parallelogram.
Answer provided by our tutors
Adjacent angles in a parallelogram are supplementary
let A, B be the angles adjacent angles of the parallelogram
A + B = 180
the measure of an angle of a parallelogram is 18 degrees less than 5 times the measure of an adjacent angle
A = 5*B - 18
by solving the system of equations
A + B = 180
B = 5*A - 18
we find
A = 33 degrees
B = 147 degrees
click here to see the step by step solution of the system of equations
the interior angles of the parallelogram are 33 degrees and 147 degrees.