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Y_Kistochka [10]
3 years ago
9

If the measure of an exterior angle drawn at vertex M

Mathematics
2 answers:
Rom4ik [11]3 years ago
7 0

Answer:

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

Sveta_85 [38]3 years ago
5 0

Answer:

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.

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Answer:

a. 1 1/2 (or 3/2)

b. 2/3

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Step-by-step explanation:

Part A: (1,1) (7,5)

To determine the slope, you will use the equation m=(y2-y1)/(x2-x1). Keep in mind that it doesn't matter what point you use for (x1, y1) or (x2, y2).

Let's plug in the numbers for part a:

m=(7-1)/(5-1)

Let's then solve the problems inside the parentheses:

m=6/4

And finally, we simplify:

m=3/2 (or 1 1/2 depending on what your teacher wants for an answer)

For these others, I will just go through the steps and not explain them, if you need help or don't understand something I'm doing, either look back at what I did for part a or comment on this answer.

Part B: (1,1) (5,7)

m=(5-1)/(7-1)

m=(4/6)

m=2/3

Part C: (2,5) (-1,2)

m=(-1-2)/(2-5)

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3 years ago
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Step-by-step explanation:

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3 0
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FrozenT [24]

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5 is your answer.

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