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Question
In the given figure, the value of x is ______.
Options
12
15
20
30
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Solution
In the given figure, the value of x is 20.
Explanation:
The figure is as follows:
It is given that
∠2 = 90°
Also,
∠1 = (3x + 10)° ...(vertically opposite angles)
Since, x°, ∠1 and ∠2 form a linear pair.
Therefore,
x + ∠1 + ∠2 = 180°
x + (3x + 10°) + 90° = 180°
4x + 100° = 180°
4x = 180° -100°
4x = 80°
x = `(80°)/4`
x = 20°
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