Answer:
Step-by-step explanation:
The sum of the angles of a triangle is always 180°.
(2x+4) + (2x-2) + (x-2) = 180
5x = 180
x = 36°
Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.
Step-by-step explanation:
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.