Answer :

The measure of angle KLN in the given set of intersecting lines is 100°.

What is intersecting lines?

In geometry, intersecting lines are lines that cross or meet each other at a point. The point at which the lines intersect is called the point of intersection. Intersecting lines are a fundamental concept in geometry and are used to define many other geometric shapes and concepts. For example, the intersection of two lines can form an angle, and the measurement of this angle can provide information about the relative positions of the lines.

Here,

Since the sum of angles in a quadrilateral is 360 degrees, we can set up an equation:

M + 100 + (x-y) + m

We also know that m

m

We can use the fact that the sum of angles in a triangle is 180 degrees to set up another equation:

m

Since m

m

Now we have two equations:

M + 100 + (x-y) + m

m

We need to solve for m

m

Now we can substitute this expression for m

M + 100 + (x-y) + (180 - m

Simplifying, we get:

280 - m

Rearranging, we get:

m

100=x-y

y=2/7x

100=x-2x/7

x=700/5

x=140

y=2*140/7

y=40

x-y=100°

To know more about intersecting lines,

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