Question

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

Answer 1

`71^(\circ)`

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 :)