Given:
A figure in which a transversal line intersect two parallel lines.
and .
To find:
The value of x and y.
Solution:
We know that, if a transversal line intersect two parallel lines, then
(1) Alternate exterior angles are equal.
(2) Same sided interior angles are supplementary. So their sum is 180 degrees.
In the given figure j and k are parallel lines and l is a transversal line.
From the given figure, it is clear that,
(Alternate exterior angles are equal)
Therefore, the value of x is 20.
Now,
(Same sided interior angles are supplementary)
Therefore, the value of y is 38.
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Answer:
H y +268 = 12(x +20)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The first point in the table is (x, y) = (-20, -268), so the equation with these filled in is ...
y -(-268) = m(x -(-20))
y +268 = m(x +20) . . . . . . matches F or H
We can see that the values of y change by a lot more than the values of x. That means the slope is a lot more than 1. This observation eliminates choice F, so we are left with ...
H. y +268 = 12(x +20)