Respuesta :

Answer:

Please check the explanation.

Step-by-step explanation:

                                                        6)

Given ΔMNO ≅ ΔPQR

As congruent parts of congruent triangle are congruent.

and also given

  • m∠N = 2x+6
  • m∠Q = 4x+12

so

m∠N = m∠Q

2x+6 = 4x+12

4x-2x = 6-12

2x  = -12

Divide both sides by 2

x = -6

Thus, the value of x = -6

Therefore, option 'A' is true.

                                                     7)

Given ΔABC ≅ ΔDEF

As congruent parts of congruent triangle are congruent.

and also given

  • AB = 4v+2
  • DE = 6v-4

so

AB = DE

4v+2 = 6v-4

6v-4v = 2+4

2v=6

Divide both sides by 2

v = 3

Thus, the value of v = 3

Therefore, option 'A' is true.