If the measure of an exterior angle drawn at vertex M

oftriangle LMN is x, then measurements of angle L + measurements of

angle N is what?

x

Step-by-step explanation:

We are given that measure of an exterior angle which are drawn at vertex M=x

We have to find the value of measurement of angle L+measurement of angle N.

Exterior angle:It is defined as that angle of triangle which is formed by the one side of triangle and the extension of an adjacent side of triangle. The measure of exterior angle is equal to sum of measures of two non-adjacent interior angles of a triangle.

Angle L and angle N are two non-adjacent angles of a given triangle LMN.

By definition of exterior angle

x=Measure of angle L+Measure of angle N

An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see Triangle external angle theorem.

If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles.