Question

if $overline{vy}congoverline{xy}$, $mangle vwy = 2t$, and $mangle xwy=t + 18^{circ}$, what is the value of $t$?

Explanation:

Step1: Use congruent - side property

If $\overline{VY}\cong\overline{XY}$, then $\angle VWY\cong\angle XWY$ (angles opposite congruent sides in a triangle).
So, $2t=t + 18$.

Step2: Solve the equation for $t$

Subtract $t$ from both sides of the equation $2t=t + 18$.
$2t-t=t + 18-t$.
$t = 18$.

Answer:

$18$