Q7 of 153 Page 113

Find the measure of an angle which is 36° more than its complement.

63°


Let, measure of an angle = X


Complement of X = 90° – X


According to question,


⇒ X = (90° – X) + 36°


⇒ X + X = 90° + 36°


⇒ 2X = 126°


⇒ X = 63°


Therefore measure of an angle = 63°


More from this chapter

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5

Find the supplement of each of the following angles.

(i) 63°


(ii) 138°


(iii) of a right angle


(iv) 75°36’


(v) 124°20’40’’


(vi) 108°48’32’’

 6

Find the measure of an angle which is

(i) equal to its complement,


(ii) equal to its supplement.

 8

Find the measure of an angle which 25°less than its supplement.

 9

Find the angle which is four times its complement.