Question

dessert (extension – if you are still hungry)
given that $\triangle rws \cong \triangle tuv$, find the values of $x$ and $y$.

Explanation:

Step1: Match congruent sides

$\overline{WS} = \overline{TV}$
$20 = 3y + 7$

Step2: Solve for y

$3y = 20 - 7$
$3y = 13$
$y = \frac{13}{3}$

Step3: Match congruent angles

$\angle R = \angle T$
$(8x - 27)^\circ = 29^\circ$

Step4: Solve for x

$8x = 29 + 27$
$8x = 56$
$x = 7$

Answer:

$x = 7$, $y = \frac{13}{3}$