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प्रश्न
Triangle DEF of the following figure is a right triangle with ∠E = 90°. What type of angles are ∠D and ∠F?
पर्याय
They are equal angles
They form a pair of adjacent angles
They are complementary angles
They are supplementary angles
MCQ
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उत्तर
They are complementary angles
Explanation:
Since, ∠D and ∠F are complementary angles.
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°
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Notes
Two angles whose measures add to 180° are known as supplementary angles and two angles whose measures add to 90° are known as complementary angles.
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