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Lines and Angles — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSLines and Angles1 Mark
MCQ
In Fig. $PO || RS$ and $\angle \text{PAB}=60^\circ$ and $\angle \text{ACS}=100^\circ.$ Then, $\angle \text{BAC}=$
  • ✓
    $40$
  • B
    $60$
  • C
    $80$
  • D
    $50$
✓

Answer

Correct option: A.
$40$
Since, $PQ || RS$
$\therefore \angle \text{PAC}= \angle \text{ACS}=100^\circ$ [Corresponding angles]
Now, $\angle \text{PAC}=100^\circ$
$\Rightarrow \angle \text{PAB}+\angle \text{BAC}=100^\circ$
$\Rightarrow 60^\circ+\angle \text{BAC}=100^\circ$
$\Rightarrow \angle \text{BAC}=40^\circ$
Hence, the correct answer is option $(a).$

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