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Question
Triangle DEF of the given figure is a right triangle with ∠E = 90°. What type of angles are ∠D and ∠F?
Options
They are equal angles
They form a pair of adjacent angles
They are complementary angles
They are supplementary angles
Solution
They are complementary angles
Explanation:
In ΔDEF,
∠D + ∠E + ∠F = 180° ......[Angle sum property of a triangle]
⇒ ∠D + 90° + ∠F = 180° ......[∵ ∠E = 90°, given]
⇒ ∠D + ∠F = 180° – 90°
⇒ ∠D + ∠F = 90°
∴ ∠D and ∠F are complementary angles.
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