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Conditional Statements and Its Converse

What value of...

Question

What value of y would make AOB a line in the given figure, if ∠AOC = 4y and ∠BOC = (6y + 30)

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Solution

Let us assume,as a straight line.

This makes and to form a linear pair. Therefore, their sum must be equal to.

We can say that:

Also, and. This further simplifies to:

Hence, the value of makesas a line.

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Conditional Statements and Its Converse

Standard IX Mathematics

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