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Identify which of the following pairs of angles are complementary and which are supplementary.
(i) 65°, 115° (ii) 63°, 27°
(iii) 112°, 68° (iv) 130°, 50°
(v) 45°, 45° (vi) 80°, 10°
Asked by Vishal Last Modified
Answer The sum of complementary angles is 90° and the sum of supplementary angles is 180.
(i) 65°, 115°
65° + 115° = 180°
∴ 65° & 115° are supplementary angles.
(ii) 63°, 27°
63° + 27° = 90°
∴ 63° & 27° are complementary angles.
(iii) 112°, 68°
112° + 68° = 180°
∴ 63° & 112° are supplementary angles.
(iv) 130°, 50°
130° + 50° = 180°
∴ 130° & 50° are supplementary angles.
(v) 45°,45°
45° + 45° = 90°
∴ 45° & 45° are complementary angles.
(vi) 80°, 10°
80° + 10° = 90°
∴ 80° & 10° are complementary angles.
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Harshit Bhardwaj
The sum of the measures of complementary angles is 90º and that of supplementary anglesis 180º.
(i) 65°, 115°
Sum of the measures of these angles = 65º + 115º = 180°
∴ These angles are supplementary angles.
(ii) 63°, 27°
Sum of the measures of these angles = 63º + 27º = 90°
∴ These angles are complementary angles.
(iii) 112°, 68°
Sum of the measures of these angles = 112º + 68º = 180°
∴ These angles are supplementary angles.
(iv) 130°, 50°
Sum of the measures of these angles = 130º + 50º = 180°
∴ These angles are supplementary angles.
(v) 45°, 45°
Sum of the measures of these angles = 45º + 45º = 90°
∴ These angles are complementary angles.
(vi) 80°, 10°
Sum of the measures of these angles = 80º + 10º = 90°
∴ These angles are complementary angles.
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