Question

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 < 39 x < 77 x > 103

Answer 1

Answer:

x > 38° only satisfies the condition.

Step-by-step explanation:

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. (Answer)

Answer 2

Answer:

> 38

Step-by-step explanation:

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