SOLUTION: the measure of two adjacent angles of a parallelogram are in the ratio 5:4.find the measure of each of the angles of the parallelogram

Question 647401: the measure of two adjacent angles of a parallelogram are in the ratio 5:4.find the measure of each of the angles of the parallelogram

Found 2 solutions by stanbon, aaronwiz:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the measure of two adjacent angles of a parallelogram are in the ratio 5:4.find the measure of each of the angles of the parallelogram
-------
The sum of 2 adjacent angles of a parallelogram is 180 degrees.
-------
Equation:
The angles are 5x and 4x.
----
5x + 4x = 180 degrees
9x = 180
x = 20
----
5x = 100 degrees
4x = 80 degrees
==================
Cheers,
Stan H.
==================
Answer by aaronwiz(69) (Show Source): You can put this solution on YOUR website!
Hi, my name is Aaron I am in 10th grade and im in honors trig/pre-calc.
In a //-ogram consecutive angles are supp. they are transversals in a way. Lets make an equation
5x=larger angle
4x=smaller angle

5x+4x=180
x=20
now plug back in to the original equations. The larger angles are 100, while the smaller ones are 80.
Hope I helped. I would really appreciate your recommendation, their are plenty of other things I could be doing rather then spending time on this site helping people. Good luck! :)
RELATED QUESTIONS
the measure of two adjacent angles of a parallelogram are in the ratio of 3:2 find the... (answered by poliphob3.14)
The adjacent angles of a parallelogram are in the ratio 7:5. Find the measure of each... (answered by TimothyLamb)
Two adjacent angles of a parallelogram are in the ratio 4:5. Find the measure of measure... (answered by Fombitz,MathTherapy)
Two adjacent angles of a parallelogram are in the ratio 1:5. Find all the angles of a... (answered by richwmiller)
TWO ADJACENT ANGLES OF A PARALLELOGRAM ARE (3X-4) AND (3X+16) FIND THE VALUE OF X AND (answered by Cromlix)
two adjacent angles of a parallelogram are (3x-4)� and (3x+16)�. Find the value of x and... (answered by psbhowmick)
Two adjacent angles of a parallelogram are in ratio 4:5. Find all the angles of the... (answered by TimothyLamb)
If two consecutive angles of a parallelogram are in the ratio 2:3,find the measure of... (answered by htmentor)
Hello! Please help me solve this question - Two Adjacent Angles of a parallelogram... (answered by josgarithmetic)