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  • For what value of x + y in Fig. 6.4 will ABC be a line? Justify your answer.

For what value of x+y in Fig. 6.4 will ABC be a line? Justify your answer.

Answers (1)

Here x & y are two adjacent angles and for straight-line x+y=1800

Justification: As we know that if the sum of two adjacent angles is 1800 it represents the straight line.

 \angle CBD= x,  \angle ABD =y

\text{To form ABC; a straight line the sum of} \angle ABD+\angle CBD=180^{\circ} 

x + y = 180^{\circ}

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