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


Click to see all the steps



the interior angles of the parallelogram are 33 degrees and 147 degrees.