Question

Question was provided via image upload.

Explanation:

Step1: Match congruent sides for x

Corresponding sides of congruent triangles are equal: $2x - 7 = 39$

Step2: Solve for x

Add 7 to both sides, then divide by 2:
$2x = 39 + 7 = 46$
$x = \frac{46}{2} = 23$

Step3: Match congruent right angles for y

Corresponding angles of congruent triangles are equal: $13y - 1 = 90$

Step4: Solve for y

Add 1 to both sides, then divide by 13:
$13y = 90 + 1 = 91$
$y = \frac{91}{13} = 7$

Step5: Match congruent angles for z

Corresponding angles of congruent triangles are equal: $6z - 4 = 28$

Step6: Solve for z

Add 4 to both sides, then divide by 6:
$6z = 28 + 4 = 32$
$z = \frac{32}{6} = \frac{16}{3} \approx 5.33$

Answer:

$x=23$, $y=7$, $z=\frac{16}{3}$