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°
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°
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.
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.
