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Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?

x > 38
x 103

Respuesta :

Answer:

c

Step-by-step explanation:

The statement about the value of x that is true about the triangle is x > 38.

How to depict the triangle?

Given triangle ΔNPO, and ∠ PNM is the exterior angle to the interior angle ∠ PNO of the triangle.

So, ∠ PNM = ∠ NPO + ∠ PON

⇒ x = 38° + 39° = 77° {Given that ∠ PNM = 38° and ∠ PON = 39°}

Since the exterior angle of an interior angle of a triangle is equal to the sum of the other two interior angles. Hence, x > 38° only satisfies the condition.

Learn more about triangles on:

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