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

Question

2 years ago

7

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

1 answer:

elixir [45] · Answer 1 · 2023-04-12T21:41:13+03:00

The measure of the exterior angle PNM will be x < 77. Then the correct option is C.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Triangle NPO is shown.

Line ON extends through point M to form exterior angle PNM.

Angle NPO is 38 degrees.

Angle PON is 39 degrees.

Let the exterior angle PNM is x degrees and the interior angle PYO be y.

Then we have

38 + 39 + y = 180°

y = 103°

And we know that the sum of interior and exterior angle is a triangle is 180 degrees.

x + y < 180

103 + x < 180

x < 77

Then the correct option is C.

More about the triangle link is given below.

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