Answer:
X = 32
Y = 51
Step-by-step explanation:
It is give that triangle MNP is CONGRUENT to triangle TUS .
So, MN = TU , NP = US , MP = TS , Angle M = Angle T , Angle S = Angle P .
Angle S + Angle T + Angle U = 180 - ( Angle sum property of Triangle )
24 + 142 + ( 2x - 50) = 180
= 166 + ( 2x - 50) = 180
= 2x - 50 = 180 - 166
= 2x = 14 + 50
= x = 64/2
= x = 32
Side NP = Side SU
( 2x - y ) = 13
= 2*32 - y = 13 By putting x = 32
= 64 - y = 13
= - y = 13 - 64
= - y = - 51
= y = 51
If any doubt so please ask .
THANK YOU
