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Choose the option that correctly completes the statement.

The sum of the measures of the interior angles of a quadrilateral is _____ degrees.
270
180
90
360

User Tryp
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2 Answers

4 votes
The sum of the measures of the interior angles of a quadrilateral is 360 degrees.
User Nalin Nishant
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3 votes

Answer:

D. 360 degrees.

Explanation:

We have been given an incomplete statement. We are asked to complete the given statement using provided options.

Statement:

The sum of the measures of the interior angles of a quadrilateral is _____ degrees.

We know that a quadrilateral is a polygon with 4 vertices.

We can divide a quadrilateral into two triangles by drawing a diagonal. We know that sum of three angles of a triangle is equal to 180 degrees, so sum of angles of two triangles would be 360 degrees.

Therefore, the sum of the measures of the interior angles of a quadrilateral is 360 degrees and option D is the correct choice.

User Tony Junkes
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