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
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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) (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 = 24 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 97 degrees (ninety seven and one seventh)
And the left end right angles are
82 degrees (eighty two and six sevenths)
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