Question

find $m\angle y$ and $wy$.

$m\angle y = \square ^\circ$
$wy = \square$ in.

(there is a triangle $wxy$ with $wx = 7$ in, $xy = 7$ in, and $\angle x = 60^\circ$)

Explanation:

Step1: Identify Triangle Type

In triangle \( WXY \), \( WX = YX = 7 \) in. and \( \angle X = 60^\circ \). A triangle with two equal sides and an included \( 60^\circ \) angle is equilateral. So all angles are \( 60^\circ \), so \( m\angle Y = 60^\circ \).

Step2: Find \( WY \) Length

In an equilateral triangle, all sides are equal. Since \( WX = YX = 7 \) in., \( WY = 7 \) in.

Answer:

\( m\angle Y = 60^\circ \); \( WY = 7 \) in.