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Lines and Angles — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsLines and Angles1 Mark
MCQ
In the given figure $, \text{AOB}$ is a straight line. If $\angle\text{AOC}=4\text{x}^\circ$ and $\angle\text{BOC}=5\text{x}^\circ$ then $\angle\text{AOC}=?$
  • A
    $40^\circ$
  • B
    $60^\circ$
  • ✓
    $80^\circ$
  • D
    $100^\circ$
✓

Answer

Correct option: C.
$80^\circ$
Since $\text{AOB}$ is a straight line,
$\angle\text{AOC}+\angle\text{BOC}=180^\circ$
$\Rightarrow4\text{x}+5\text{x}=180^\circ$
$\Rightarrow9\text{x}=180^\circ$
$\Rightarrow\text{x}=206^\circ$
So, $\angle\text{AOC}=4\text{x}=4(20)=80^\circ$

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