Respuesta :
mP = mX = 66 degrees because the triangles are similar
so mW = 180 - mV - mX = 180 - 44 - 66 = 70 degrees
so mW = 180 - mV - mX = 180 - 44 - 66 = 70 degrees
Answer:
Measure of ∠W is 70°
Step-by-step explanation:
Given two similar triangles VWX and NOP in which m∠V = 44° and m∠P = 66°
We have to find the m∠W.
As given two triangles similar. Hence, corresponding angles are congruent
⇒ m∠X=m∠P=66°
By Angle sum Property of triangle
m∠V+m∠W+m∠X=180°
⇒ 44°+m∠W+66°=180°
⇒ m∠W+110°=180°
⇒ m∠W=180°-110°=70°
Hence, measure of ∠W is 70°
