Gujarat BoardEnglish MediumSTD 9MathsLines and Angles1 Mark
MCQ
In Fig. the value of $y$ is:
A
$20^{\circ}$
B
$60^{\circ}$
✓
$30^{\circ}$
D
$45^{\circ}$
✓
Answer
Correct option: C.
$30^{\circ}$
$3x + y + 2x = 180^{\circ}$(Linear pair)
$5x + y = 180^{\circ} (i)$
From figure,
$y = x$ (Vertically opposite angles)
Using it in $(i)$, we get
$5x + x = 180^{\circ}$
$6x = 180^{\circ}$
$x = 30^{\circ}$
Thus,
$y = x = 30^{\circ}$.
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