SOLUTION: The sum of the measures of the angles of a parallelogram is​ 360°. In the parallelogram on the​ right, angles A and D have the same measure as well as angles C and B. I

Algebra ->  Parallelograms -> SOLUTION: The sum of the measures of the angles of a parallelogram is​ 360°. In the parallelogram on the​ right, angles A and D have the same measure as well as angles C and B. I      Log On


   



Question 1048510: The sum of the measures of the angles of a parallelogram is​ 360°. In the parallelogram on the​ right, angles A and D have the same measure as well as angles C and B. If the measure of angle C is four times the measure of angle​ A, find the measure of each angle.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Angle A=angle D, and C=D. Let n=angles a and d. Then b and c are 4n. So:
4n+4n+n+n=360
10n=360
n=36
Angles A and D are both 36°, B and C are 144°. ☺☺☺☺