Question

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

Answer 1

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 :)