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Alborosie
4 years ago
10

If XYZ ∼ LPN, what are the measures of the angles of XYZ

Mathematics
2 answers:
mash [69]4 years ago
7 0

Answer: X = 62°, Y = 68°, Z = 50°

Step-by-step explanation:

From the given picture, the angles of Δ LPN are ∠L= 62° and ∠ N = 50°

By angle sum property of triangle ,

∠P=180°-(62°+50°)

⇒∠P=180°-112°

⇒∠P=68°

Hence, ∠P=68°

Since, ΔXYZ ∼ ΔLPN [given]

Also, the corresponding angles of similar triangle are equal.

Therefore,  ∠L=∠X 62° , ∠P=∠Y=68° and ∠ N =∠Z= 50°

pickupchik [31]4 years ago
4 0

Answer:

B

Step-by-step explanation:

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