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The angles of a quadrilateral are in the ratio 1:2:3:4. What is the measure of the largest angle?

  • A.36°
  • B.72°
  • C.108°
  • D.144°

Answer: D

The angles of a quadrilateral add to 360°, and the ratio has \( 1+2+3+4 = 10 \) parts.

\[ \text{one part} = \frac{360}{10} = 36^{\circ} \]

\[ \text{largest} = 4 \times 36 = 144^{\circ} \]

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