From the given figure ∠DOC =A) 72° B) 90° C) 18° D) 108°

1.	From the given figure ∠DOC =A) 72° B) 90° C) 18° D) 108°
Answer» Correct option is (C) 18° \(\because\) \(\frac x4+90^\circ+x=180^\circ\) \(\Rightarrow\) \(x+\frac x4=180^\circ-90^\circ=90^\circ\) \(\Rightarrow\) \(\frac{5x}4=90^\circ\) \(\Rightarrow\) \(x=90^\circ\times\frac45=72^\circ\) \(\therefore\) \(\angle DOC\) \(=\frac x4=\frac{72^\circ}4=18^\circ\) Correct option is C) 18°

Answer»

Correct option is (C) 18°

\(\because\) \(\frac x4+90^\circ+x=180^\circ\)

\(\Rightarrow\) \(x+\frac x4=180^\circ-90^\circ=90^\circ\)

\(\Rightarrow\) \(\frac{5x}4=90^\circ\)

\(\Rightarrow\) \(x=90^\circ\times\frac45=72^\circ\)

\(\therefore\) \(\angle DOC\) \(=\frac x4=\frac{72^\circ}4=18^\circ\)

Correct option is C) 18°

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