Respuesta :

Answer:

x = 70

Step-by-step explanation:

180 - 112 = 68

2x + 2x + 12 + 68 = 360

4x + 80 = 360

4x = 360 - 80

4x = 280

x = 280/4

x = 70

2x = 2*70 = 140

2x + 12 = 2*70 + 12 = 152

180 - 140 = 40

112 + 40 = 152

180 - 152 = 28

112 + 28 = 140

The value of x is 70

What is a triangle?

  • Any 2-dimensional figure, bounded by 3 sides is called a triangle.
  • In a triangle sum of all the angles is 180°

How to find the value of x?

  • We know that the net angle on a straight line is 180°

External angle B = 2x°

∴ ∠ABC = (180 - 2x)°

Again External angle C = (2x + 12)°

∴ ∠ACB = ( 180 - 2x - 12)° = (168 - 2x)°

  • As we know in a triangle sum of all the angles is 180°.

∴ 112 + (180 - 2x) + (168 - 2x) = 180

⇒ 4x = 280

⇒ x = 70

∴ The value of x is 70

Find out more information about the measure of angles of a triangle   here: https://brainly.com/question/25215131

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