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Q.

The sum of measures of all angles in a quadrilateral is ____.

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a

3600

b

5600

c

900

d

1800

answer is B.

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Detailed Solution

A quadrilateral can be divided into two triangles by drawing a diagonal.

The sum of the measures of the angles in a triangle is always 1800.

Therefore, the sum of the measures of the angles in two triangles is:

2 × 1800 = 3600

Therefore, the sum of all angles in a quadrilateral is 3600.

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