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Question
In the given figure, if l || m, what is the value of x?
Options
60°
50°
45°
30°
Solution
Given figure is as follows:
Since (x + 15°)and (2y + 25°)are vertically opposite angles, therefore,
`(x + 15) = (2y + 25)`
` x -2y = 25° - 15°`
` x - 2y = 10°` (1)
Also, 3y and (2y + 25°)are alternate interior opposite angles, therefore,
`3y = (2y + 25°)`
`3y - 2y = 25°`
` y = 25°`
Substituting in equation (i), we get:
x - 2(25°) = 10°
x - 50° = 10°
x = 50° + 10°
x = 60°
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