Question

in $\triangle vwx$, $wx = 17$, $xv = 12$, and $vw = 8$. which list has the angles of $\triangle vwx$ in order from largest to smallest?
answer
$\circ$ $m\angle v$, $m\angle x$, $m\angle w$ $\circ$ $m\angle w$, $m\angle v$, $m\angle x$
$\circ$ $m\angle v$, $m\angle w$, $m\angle x$ $\circ$ $m\angle x$, $m\angle w$, $m\angle v$
$\circ$ $m\angle x$, $m\angle v$, $m\angle w$ $\circ$ $m\angle w$, $m\angle x$, $m\angle v$

Explanation:

Step1: Match sides to opposite angles

In $\Delta VWX$:

• Side $WX=17$ is opposite $\angle V$
• Side $XV=12$ is opposite $\angle W$
• Side $VW=8$ is opposite $\angle X$

Step2: Order sides from largest to smallest

$17 > 12 > 8$, so $WX > XV > VW$

Step3: Relate to angle measures

In a triangle, larger sides correspond to larger opposite angles. So:
$m\angle V > m\angle W > m\angle X$

Answer:

m∠V, m∠W, m∠X