Respuesta :

mhanifa

Answer:

  • x = 6

Step-by-step explanation:

Given triangle is isosceles:

  • AC = BC - marked equal

It makes opposite angles equal too:

  • m∠A = m∠B

One angle measure is given:

  • m∠C = 60°

Find the other interior angles:

  • m∠A = m∠B = 1/2(180° - 60° = 60°

Since all interior angles are equal, all sides are equal too:

  • 2x - 1 = 3x - 7
  • 3x - 2x = 7 - 1
  • x = 6

It's a equilateral triangle as 1 side is 60°.Other two angles are equal and will be 60°.

[tex]\\ \tt\longmapsto 2x-1=3x-7[/tex]

[tex]\\ \tt\longmapsto -1+7=3x-2x[/tex]

[tex]\\ \tt\longmapsto 6=x[/tex]

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