Selina solutions

# Question 12

Q12) (i) 10° and 80°

(ii) 37° 28′ and 52° 33′

(iii) (x+ 16)°and(74-x)°

(iv) 54°and\ \frac{2}{5}ofa\ right\ angle.

Solution:

(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°)

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