Are the following pairs of angles complementary? (i) 10° and 80° (ii) 37° 28′ and 52° 33′ (iii) (x + 16) … – x)° (iv) 54°…
Answers:
(i) 10° and 80°: Yes, these are complementary angles as their sum
= 10° + 80° = 90°
(ii) 37° 28’ and 52° 33’ : NO, these are not complementary angles as their sum is not
90° (37° 28’ + 52° 33 : NO , these are not complementary angles as their sum is not 90° (37° 28’ + 52° 33’ = 90° 1’)
(iii) (x + 16)° and (74 – x)° : Yes these are complementary angles as their sum is
90° (x° + 16° + 74° – x° = 90°)
(iv) 54° and (2/5) of a right angles
⇒ 54° and (2/5) × 90° ⇒ 54° and 36°
Yes, there are complementary angles as their sum
is 90° (54° + 36° = 90°)