Question

what values of a and b make (\triangle rstcong\triangle wuv)?

Explanation:

Step1: Use corresponding sides of congruent triangles

Since \(\triangle RST\cong\triangle WUV\), their corresponding sides are equal.
For the sides: \(b + 38=41\) and \(a + 38=45\)

Step2: Solve for \(a\)

Solve the equation \(a + 38=45\)
Subtract 38 from both sides: \(a=45 - 38\)
\(a = 7\)

Step3: Solve for \(b\)

Solve the equation \(b + 38=41\)
Subtract 38 from both sides: \(b=41 - 38\)
\(b = 3\)

Answer:

\(a = 7\), \(b = 3\)