SOLUTION: please help me with this, thank you. The measures of angles A and B of parellogram ABCD in the ratio of 2:7 find the measure of angle A.

Algebra ->  Geometry-proofs -> SOLUTION: please help me with this, thank you. The measures of angles A and B of parellogram ABCD in the ratio of 2:7 find the measure of angle A.      Log On


   



Question 422468: please help me with this, thank you.
The measures of angles A and B of parellogram ABCD in the ratio of 2:7 find the measure of angle A.

Found 2 solutions by htmentor, sudhanshu_kmr:
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
For a parallelogram, we know that the sum of angles A and B must be equal to 180 degrees.
So we have A + B = 180 (1)
And the ratio of angle A to angle B is 2/7 -> A/B = 2/7, or B = (7/2)*A
Eliminating B in (1) gives A + (7/2)*A = 180 -> A = (2/9)*180 = 40 degrees.

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

sum of angles = 180
=> 2x + 7x =180
=> 9x = 180
=> x = 180/9 = 20

so, angle A = 2*20 = 40