Mathematics

Triangle DEF in figure is right triangle with $$\angle E=90^{o}$$.
What type of angles are $$\angle D$$ and $$\angle F$$?


ANSWER

They are complementary angles


SOLUTION
$$\angle D+\angle E+\angle F=180^{o}$$ ....Angle sum property
$$\because \angle E=90^{o}$$
$$\Rightarrow \angle D+\angle F=180^{o}-90^{o}$$
$$\Rightarrow \angle D+\angle F=90^{o}$$
Therefore, angle $$D$$ and $$F$$ are complementary angles.
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