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Mandarinka [93]
2 years ago
10

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

Mathematics
1 answer:
allsm [11]2 years ago
5 0

Answer:

71^{\circ}

Step-by-step explanation:

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

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

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

2(m\angle W) = 142

m\angle W=71^{\circ}

Hope this helps :)

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