SOLUTION: Two adjacent angles of a parallelogram are in the ratio 4:5. Find the measure of measure of each of its angles. What does ratio 4:5 mean? How do we set up the problem to solve f

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Question 946934: Two adjacent angles of a parallelogram are in the ratio 4:5. Find the measure of measure of each of its angles.
What does ratio 4:5 mean? How do we set up the problem to solve for the angles?
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F5=X%2FY
So then,
4Y=5X
Y=%284%2F5%29X
Since it's a parallelogram,
X%2BY%2BY%2BX=360
X%2BY=180
X%2B%284%2F5%29X=180
Now solve for X.
Then go back and solve for Y

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Two adjacent angles of a parallelogram are in the ratio 4:5. Find the measure of measure of each of its angles.
What does ratio 4:5 mean? How do we set up the problem to solve for the angles?
A ratio of 4:5 signifies 4 + 5, or 9 parts

Adjacent angles of a parallelogram are congruent



Method 1:

Therefore, smaller angle is: %284%2F9%29+%2A+180, and larger angle is: %285%2F9%29+%2A+180, or 180+-+%284%2F9%29+%2A+180

OR

Method 2:

Equation: 4x + 5x = 180

Solve for x, the multiplicative factor

Multiply value of x by 4 to get smaller angle

Multiply value of x by 5, or subtract smaller angle from 180 to get larger angle

Both methods should provide same results.