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Given, find the value of for which POQ will be a line. (figure)

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answer is A.

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Detailed Solution

Concept: As you can see, the angles

and

are given. , And you need to find the value of x so that the POQ is a line. This means that the

forms a straight line angle

. When two straight lines intersect, a pair of straight lines is formed. The linear angle measurement is

.Therefore, a linear pair of angles is equal to

and

[Given ]

is a line.

[Linear pair]

Hence, option 1 is correct.

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