SOLUTION: Find the value of each variable and the measures of all the angles. The problem is a figure with two lines that are shaped like an X. The top angle is (2x) degrees. The angle

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Find the value of each variable and the measures of all the angles. The problem is a figure with two lines that are shaped like an X. The top angle is (2x) degrees. The angle      Log On


   

Question 698835: Find the value of each variable and the measures of all the angles.
The problem is a figure with two lines that are shaped like an X.
The top angle is (2x) degrees.
The angle to the right of the top angle is (x+y+10) degrees.
And the angle to the left of the top angle is (4y) degrees
Answer by Simnepi(216) About Me  (Show Source):
You can put this solution on YOUR website!
This is very much like the last one!
From your description the 2x and the 4y are opposite and therefore, equal
2x = 4y
this means that
x = 2y
Putting this value into the angle on the right you get
(2y+y+10) = (3y+10)
Now cover up the top and left angles to see the straight line.the angles on a straight line sum to 180 degrees
This means that
(3y+10) + 4y = 180
or simplifying
7y+10 = 180
which means that
7y = 170
or y = 242%2F7 degrees (twenty four and two sevenths)
this means that the bottom angle on your diagram (and also the top angle as they are opposite and equal)
is 971%2F7 degrees (ninety seven and one seventh)
And the left end right angles are
826%2F7 degrees (eighty two and six sevenths)