Answer:
x = 11° and y = 6
Step-by-step explanation:
Here, given ΔRWS ≅ ΔTUV
Two triangle are said to be congruent to each other it they have exactly the same three sides and exactly the same three angles.
So, here RW = UT, WS = UV and SR = VT
⇒ 25 = 3y + 7
or, 3y = 25 - 7 = 18
or, y = 18/3 = 6
⇒ y = 6
In ΔTUV
By Angle Sum Property:
∠ TUV + ∠ UVT + ∠ UTV = 180°
or, 90° + 29°+ ∠ UTV = 180°
⇒∠ UTV = 180° - 119 = 61°
Now, by congruence rule: ∠ WRS = ∠ UTV
⇒ (8x - 27)° = 61°
or, 8x = 27° + 61° = 88°
or, x = 88/8 = 11°
⇒ x = 11°
