MCQ
In figure, $\text{PQ}||\text{RS},\angle\text{QPR}=70^\circ,\angle\text{ROT}=20^\circ$ find the value of $x.$ 
- A$20^\circ$
- B$70^\circ$
- ✓$50^\circ$
- D$110^\circ$
✓
Answer
Correct option: C.
$50^\circ$
$\text{PQ}||\text{RS}$
$\angle\text{QPR}=\angle\text{SRO}=70^\circ$ (Corresponding, Angle)
$\text{NOW IN}\triangle\text{RTO}$
$\text{x}+20^\circ=70^\circ$ (exterior angle)
$\text{x}=70^\circ-20^\circ$
$\text{x}=50^\circ$
$\angle\text{QPR}=\angle\text{SRO}=70^\circ$ (Corresponding, Angle)
$\text{NOW IN}\triangle\text{RTO}$
$\text{x}+20^\circ=70^\circ$ (exterior angle)
$\text{x}=70^\circ-20^\circ$
$\text{x}=50^\circ$
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