MCQ
Given $\angle\text{POR}=3\text{x}$ and $\angle\text{QOR}=2\text{x}+10^\circ.$ If $\angle\text{POQ}$ is a straight line, then the value of $x$ is:
- A$30^\circ $
- B$36^\circ $
- ✓$34^\circ $
- DNone of these
✓
Answer
Correct option: C.
$34^\circ $
Given,
$POQ$ is a straight line
$\angle\text{POR}+\angle\text{QOR}=180^\circ$ (Linear pair)
$3x + 2x + 10^\circ = 180^\circ$
$5x = 170^\circ$
$x = 34^\circ .$
$POQ$ is a straight line
$\angle\text{POR}+\angle\text{QOR}=180^\circ$ (Linear pair)
$3x + 2x + 10^\circ = 180^\circ$
$5x = 170^\circ$
$x = 34^\circ .$
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