swiftghost
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Each face of the Great Pyramid at Giza is an isosceles triangle with a 76° vertex angle.
What are the measures of the base angles?

Respuesta :

The base angles of an isosceles triangle are the same.
Hence,
The degree of each base angle of each face is [(180-76)/2]= 52.
MrRoyal

The base angles of an isosceles triangle are congruent.

The measure of the base angles is 52 degrees

The vertex (x) angle is given as:

[tex]\mathbf{x = 76}[/tex]

Let the base angles be y.

By the theorem of the sum of angles in a triangle, we have:

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

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

Substitute 76 for x

[tex]\mathbf{76 + 2y= 180}[/tex]

Subtract 76 from both sides

[tex]\mathbf{2y= 104}[/tex]

Divide both sides by 2

[tex]\mathbf{y= 52}[/tex]

Hence, the measure of the base angles is 52 degrees

Read more about isosceles triangles at:

https://brainly.com/question/21495359

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