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Answer: $24^\circ$
The angles in a quadrilateral add up to $360^\circ$, so this tells us that:$$x+2x+4x+8x = 360^\circ$$ Collecting like terms gives:$$15x = 360^\circ$$ Dividing by $15$ gives:$$x = 24^\circ$$ Therefore, the smallest angle in the quadrilateral is $24^\circ$.
Geometric Quadrilateral
Age 11 to 14
ShortChallenge Level 
Answer: $24^\circ$
The angles in a quadrilateral add up to $360^\circ$, so this tells us that:$$x+2x+4x+8x = 360^\circ$$ Collecting like terms gives:$$15x = 360^\circ$$ Dividing by $15$ gives:$$x = 24^\circ$$ Therefore, the smallest angle in the quadrilateral is $24^\circ$.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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