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Angle M has a measure of 47°. What is the measure of angle PNL? 43° 47° 86° 94°

Sagot :

As angle M has a measure of 47°, then the measure of angle PNL is 43°

To find: the measure of ∠ PNL .

To proof

As given

∠ M = 47°

In  ΔLMN

If the two sides of a triangle are equal and you use the property, the diagonals are also equal.

As given MN = LN

∠ M =∠ L = 47°

and ∠ MPN = 90 °

∠ MPN +  ∠ NPL = 180°  (Linear pair)

∠ NPL = 180° - 90°

∠ NPL = 90°

Now by using the angle sum property of a triangles.

in Δ NPL

∠NPL +∠PNL + ∠NLP = 180°

90 + 47 + ∠PNL = 180

137+ ∠PNL = 180

∠PNL = 180 - 137

∠PNL = 43 °

Therefor the Measure of angle PNL is 43°.

Hence proved

Learn more about Angle of measure:

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