Question

In the figure above lines L and M are parallel, y = 20 and Z= 60, What is the value of X equal to?

Answer 1

x=100 Because lines L and M are parallel, that makes the large and small triangles similar triangles where all of the corresponding angles between the two triangles are identical. So both triangles have angles with the values x, y, and z. Since the sum of all the angles in a triangle add up to 180, we have the following equation: x + y + z = 180 Now substitute the known values, getting: x + y + z = 180 x + 20 + 60 = 180 And solve for x: x + 20 + 60 = 180 x + 80 = 180 x = 100 So the value of x is 100.

Answer 2

Following the given figure, lines L and M are parallel with $y = 20$ and $z= 60$, the value of $x$ is $100^{0}$.

According to the question,

$l\parallel m$

$y=20\;degree \\z=60\;degree$

$\angle ABC=y$ (Corresponding angle)

$\angle ABC=20$ degree

In triangle ABC

$x+z+\angle ABC=180$ degree (Sum of the angles of traingles)

$x+20+60=180$ degree

$x=180-80$ degree

$x=100$ degree.

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