MCQ
Mark $(\checkmark)$ against the correct answer.In the given figure, it is given that $AOB$ is a straight line and $4x = 5y.$ What is the value of $x?$
- ✓$100$
- B$105$
- C$110$
- D$115$
✓
Answer
Correct option: A.
$100$
$AOB$ is a straight line
$x + y = 180^\circ $
But $4x = 5y$
$\therefore\frac{5}{4}\text{y}+\text{y}=180^\circ$
$\frac{\text{5y}+\text{4y}}{4}=180^\circ$
$\Rightarrow\frac{9\text{y}}{4}=180^\circ$
$\text{y}=\frac{180^\circ\times4}{9}=80^\circ$
$\therefore\text{x}=\frac{5}{4}\text{y}=\frac{5}{4}\times80=100^\circ$
$x + y = 180^\circ $
But $4x = 5y$
$\therefore\frac{5}{4}\text{y}+\text{y}=180^\circ$
$\frac{\text{5y}+\text{4y}}{4}=180^\circ$
$\Rightarrow\frac{9\text{y}}{4}=180^\circ$
$\text{y}=\frac{180^\circ\times4}{9}=80^\circ$
$\therefore\text{x}=\frac{5}{4}\text{y}=\frac{5}{4}\times80=100^\circ$
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