Given rws=tuv, find the values of x and y

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°

ok

step-by-step explanation: