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Scrat [10]
4 years ago
13

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 i

s 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
Mathematics
2 answers:
yaroslaw [1]4 years ago
8 0

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)

seropon [69]4 years ago
4 0

Answer:

> 38

Step-by-step explanation:

took the test

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