MCQ
Two supplementary angles are in the ratio $5 : 7.$ Find the smallest angle. $1^\text{st} \text{angle}=\frac{5}{12}\times180^\circ$ and $2^\text{st} \text{angles}=\frac{7}{12}\times180^\circ$
  • A
    $80$
  • $75$
  • C
    $65$
  • D
    $90$

Answer

Correct option: B.
$75$

Sum of supplementary angles $= 180^\circ $
Given two supplementary angles are in the ratio $5 : 7.$
$1^\text{st} \text{angle}=\frac{5}{12}\times180^\circ=5\times15=75^\circ$
$2^\text{st} \text{angles}=\frac{7}{12}\times180^\circ=7\times15=105^\circ$

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