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Conditional Statements and Its Converse

In Fig. 8.40,...

Question

In Fig. 8.40, ACB is a line such that ∠DCA = 5x and ∠DCB = 4x. Find the value of x.

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Solution

It is given that ACB is a line in the figure given below.

Thus,and form a linear pair.

Therefore, their sum must be equal to.

Or, we can say that

Also, and. This further simplifies to :

Hence, the value of x is 20^o^.

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Conditional Statements and Its Converse

Standard IX Mathematics

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