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If XYZ ∼ LPN, what are the measures of the angles of XYZ
X = 68°, Y = 50°, Z = 62°
X = 62°, Y = 68°, Z = 50°
X = 50°, Y = 62°, Z = 68

If XYZ LPN what are the measures of the angles of XYZ X 68 Y 50 Z 62 X 62 Y 68 Z 50 X 50 Y 62 Z 68 class=

Respuesta :

JeanaShupp

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°

Answer:

B

Step-by-step explanation:

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