Answer: x = 32 & y = 51
Explanation:
Since
ΔMNP ≅ ΔTUS
Therefore
NP ≅ US
2x - y = 13
y = 2x - 13 __eq_1
Since
ΔMNP ≅ ΔTUS
therefore
∠N ≅ ∠U
so, if we find ∠N we'll be able to find ∠U as well
since the sum of angles of a triangle is 180, therefore
∠N = 180 - (∠M + ∠P )
∠N = 180 - (142 + 24)
∠N = 14°
we know ∠N ≅ ∠U
therefore
14 = 2x - 50
2x = 64
x = 64÷2
x = 32 __eq_2
putting eq_2 in eq_1
y =
2x - 13
y = 2 (32) - 13
y = 51 __eq_3
x = 32 & y = 51 ...Answer
hope that helps...