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Question

How many acute angles can a quadrilateral have?

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Solution

0,1,2 and 3
Explanation :
The sum of the internal angles of a quadrilateral is 360.

Hence the maximum number of acute angles a quadrilateral can have is 3, since the 4th angle will be forced to be greater than 90 .

In the following picture, the red square has no acute angles, the green kite has one acute angle, the blue rhombus has two and the gold kite has three.


1891719_1911259_ans_5759314380f145c3a697f4dd80b5806e.PNG

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