Question

1. given △rws≅△tuv, find the values of x and y.

x =
y =

Explanation:

Step1: Equate corresponding angles

Since $\triangle RWS\cong\triangle TUV$, corresponding angles are equal. $\angle R$ corresponds to $\angle V$. So, $8x - 27=29$.

Step2: Solve for $x$

Add 27 to both sides of the equation: $8x=29 + 27$, so $8x=56$. Then divide both sides by 8: $x=\frac{56}{8}=7$.

Step3: Equate corresponding sides

Corresponding sides are equal. Side $WS$ corresponds to side $TV$. So, $3y + 7=20$.

Step4: Solve for $y$

Subtract 7 from both sides: $3y=20 - 7$, so $3y = 13$. Then divide both sides by 3: $y=\frac{13}{3}$.

Answer:

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