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Lines and Angles — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSLines and Angles1 Mark
MCQ
Assertion (A): When two lines intersect such that they form an angle of $35^{\circ}$ then its adjacent angle measures $55^{\circ}$ and vertically opposite angle measures $35^{\circ}$.
Reason (R): Vertically opposite angles are always equal.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertton (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • ✓
    Assertion (A) is false but Reason (R) Is true.
✓

Answer

Correct option: D.
Assertion (A) is false but Reason (R) Is true.
(d): When two lines intersect, any two adjacent angles form a linear pair. So, if one of the angles measures $35^{\circ}$ then the adjacent angle measures $180^{\circ}-35^{\circ}=145^{\circ}$.
$\therefore A$ is false.
R is true since vertically opposite angles are always equal.

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