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°
Solution:
We use the basic definition of complementary and supplementary angles to solve the questions.
We have to solve for supplementary angle or complementary angle:
(i) 65°, 115°
Sum of measure of these two angles = 65° + 115° = 180°
Therefore, these two angles are supplementary.
(ii) 63°, 27°
Sum of measure of these two angles = 63° + 27° = 90°
Therefore, these two angles are complementary.
(iii) 112°, 68°
Sum of measure of these two angles = 112° + 68° = 180°
Therefore, these two angles are supplementary.
(iv) 130°, 50°
Sum of measure of these two angles = 130° + 50° = 180°
Therefore, these two angles are supplementary.
(v) 45°, 45
Sum of measure of these two angles = 45° + 45° = 90°
Therefore, these two angles are complementary.
(vi) 80°, 10°
Sum of measure of these two angles = 80° + 10° = 90°
Therefore, these two angles are complementary.
☛ Check: NCERT Solutions for Class 7 Maths Chapter 5
Video Solution:
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°
NCERT Solutions for Class 7 Maths Chapter 5 Exercise 5.1 Question 3
Summary:
For the following pairs of angles, the pairs which are complementary and supplementary are (i) 65°, 115° are supplementary, (ii) 63°, 27° are complementary, (iii) 112°, 68° are supplementary, (iv) 130°, 50° are supplementary, (v) 45°, 45° are complementary, (vi) 80°, 10° are complementary.
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