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const2013 [10]
1 year ago
10

In the circle below, O is the center, MP is a diameter, and m angle M O L equals 45 degrees. Find the measure of L N M.

Mathematics
1 answer:
Otrada [13]1 year ago
7 0

Check the picture below.

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The value of x that makes m║n is 40°

<h3>Line of transverse on parallel lines:    </h3>

In geometry, the line that intersects two straight lines at distinct points is known as a transversal.

<h3>Corresponding angles: </h3>

The angles that are formed when two parallel lines are intersected by a third line i.e a transversal are corresponding angles.

Note:

Two corresponding angles are formed by a transversal with two parallel lines that are equal

Here we have

The angle made by the intersecting line with line m is 120°

And the angle made by the same line with line n is 3x°

Let us assume that m║n  

From above observations

The given angle are corresponding angles

=> 3x° = 120°

=> x° = 40°  

Therefore,

The value of x that makes m║n is 40°

Learn more about the Line of transverse at

brainly.com/question/11592045

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