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The angles of a quadrilateral are in the ratio $$2 \colon 4 \colon 5 \colon 7$$. The measure of smallest of these angles is
The angles of a quadrilateral add up to $$360^\circ$$. The total number of parts is $$2 + 4 + 5 + 7 = 18$$, so one part is $$\frac{360^\circ}{18} = 20^\circ$$. The smallest angle is $$2 \times 20^\circ = 40^\circ$$.
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