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Question 18

The sum of the angles 1, 2, 3, 4, 5, 6, 7, 8 in degrees shown in the following figure is

image


Correct Answer: 360

Solution

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The figure contains a quadrilateral whose four interior angles can be expressed as sums of the labeled angles. Adding those four angle sums gives $$1+2+3+4+5+6+7+8$$. Since the interior angles of a quadrilateral sum to $$360^\circ$$, the required sum is $$360$$.

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