Answer:
x = 32, y = 51
Step-by-step explanation:
Since the triangles are congruent then corresponding sides and angles are congruent, that is
∠ U = ∠ N
∠ N = 180° - (142 + 24)° = 180° - 166° = 14° , then
2x - 50 = 14 ( add 50 to both sides )
2x = 64 ( divide both sides by 2 )
x = 32
and
NP = US
2x - y = 13
2(32) - y = 13
64 - y = 13 ( subtract 64 from both sides )
- y = - 51 ( multiply both sides by - 1 )
y = 51
