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In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W

Sagot :

GoodLizardidn

Answer:

[tex]71^{\circ}[/tex]

Step-by-step explanation:

Since two sides of the triangle are equal in length, we can conclude that [tex]\triangle WXY[/tex] is an isosceles triangle. With this information, we can draw an isosceles triangle to find [tex]m\angle W[/tex]. Since the base angles of an isosceles triangle are equal, we can solve for [tex]m\angle W[/tex]:

[tex]38 + m\angle W + m\angle Y = 180[/tex] (Angle sum of triangle is [tex]180^{\circ}[/tex])

[tex]38+2(m\angle W) = 180[/tex] (Base angles of isosceles triangles are equal, there is an image attached to show that [tex]m\angle W[/tex] is one of the base angles)

[tex]2(m\angle W) = 142[/tex]

[tex]m\angle W=71^{\circ}[/tex]

Hope this helps :)

View image GoodLizard
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