# What should the angles of a triangle add up to

Posted By Admin @ September 03, 2022

#### Question:

Marco says that the interior angles of a triangle add up to 180°. he claims that the interior angles of a hexagon must add up to 360° because a hexagon has twice as many vertices as a triangle and can be divided into two triangles, therefore, its interior angles must sum to twice the value of those of a triangle

which statement, if any, explains Marco's E R R O R?
a. a hexagon does not have 6 vertices.
b. a hexagon can be divided into 4 triangles, not 2.
c. the interior angles of a triangle do not add up to 180°.
d. Marco's statement is correct and contains no E R R O R.
°ω°

The only statement that explains Marco's error about triangles from a hexagon is;

Option B; a hexagon can be divided into 4 triangles, not 2.

• We are told that the interior angles of a triangle add up to 180°.

• Now, he is making a claim that the interior angles of a hexagon must add up to 360° because a hexagon has twice as many vertices as a triangle and can be divided into two triangles.

Let us look at the options;

• Option A; This statement does not explain his error because a hexagon has six vertices.

• Option B; This statement explains his error because a hexagon can be divided into four triangles by making use of the diagonals of the hexagon from a common vertex.

• Option C; This statement does not explain his error because the interior angles of a triangle add up to 180°.

• Option D; This statement does not explain his error because his statement is not correct.

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