Respuesta :

Both the side are 21 units.
⇒ It is an isosceles triangle.

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Property of the angles in a triangle:
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Sum of all angles in a triangle = 180°

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Find x:
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x + x + 38 = 180

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Combine like terms:
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2x + 38 = 180

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Take away 38 from both sides:
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2x = 142

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Divide by 2 on both sides:
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x = 71

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Answer: x = 71°
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isosceles triangles have two congruent angles and two congruent sides.

The value of x is 71

From the figure, the sides of the triangle are congruent.

This means that, the base angles are congruent

In other words, the base angles measure x

So, we have:

[tex]\mathbf{x + x + 38 = 180}[/tex] --- sum of angles in a triangle

[tex]\mathbf{2x + 38 = 180}[/tex]

Subtract 38 from both sides

[tex]\mathbf{2x = 180 - 38}[/tex]

[tex]\mathbf{2x = 142}[/tex]

Divide both sides by 2

[tex]\mathbf{x = 71}[/tex]

Hence, the value of x is 71

Read more about isosceles triangles at:

https://brainly.com/question/2456591

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