Question

50.
In triangles ABC and DEF, angleC = angleF,
AC = DF, and BC = EF. If AB = 2x - 1
and DE = 5x - 4, then the value of x is
(1) 3
(2) 4
(3) 1
(4) 2​

Answer 1

Answer:

Step-by-step explanation:

You can tell by the side-angle-side rule (SAS) that the two triangles are congruent. That's because you have two corresponding sides in each triangle that are equal (AC=DF and BC=EF) and the corresponding angles between them are also equal. So that tells you that the other corresponding sides are also equal, which means that AB = DE.

So that means that 2x-1 = 5x -4.

So solve that equation:

2x-1 = 5x-4

Add 4 to both sides:

2x+3 = 5x

Subtract 2x from both sides:

3 = 3x

So x = 1

Answer 2

Answer:

3option =1

Step-by-step explanation:

both the triangles are congruent

by sas test of congruent triangles

therefore seg ab=de

2x-1=5x-4

2x-5x= -4+1

-3x=-3

x=-3/-3

x=1