Mathematics

$$AB$$ and $$AC$$ are opposite rays.If $$\angle{BAD}={85}^{\circ},$$find $$\angle{CAD}$$


SOLUTION
Since $$\angle{BAD}$$ and $$\angle{DAC}$$ form a linear pair.

$$\Rightarrow \angle{BAD}+\angle{DAC}={180}^{\circ}$$

$$\Rightarrow {85}^{\circ}+\angle{DAC}={180}^{\circ}$$

$$\Rightarrow \angle{DAC}={180}^{\circ}-{85}^{\circ}$$

$$\therefore \angle{DAC}={95}^{\circ}$$
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