Question

Section 5.2 Geometry: Congruent Polygons please help

Find the values of x and y given that ΔMNP ≅ ΔTUS

Answer 1

X = 32

Y = 51

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