Q. 114.5( 11 Votes )

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

Answer :

*∠**ACD +* *∠**BCD = 180 ^{o}*(Linear pair)

5x + 4x = 180^{o}

9x = 180^{o}

x = 20^{o}

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