Question

Find the measure of an angle whose supplement is eleven times its complement. Hint: supplement and complement of an angkes are (180-0)° and (90-0)°

Answer 1

81⁰

Explanation:

Supplement = 180 - x

Complement = 90 - x

Given :

180 - x = 11 (90 - x)

180 - x = 990 - 11x

10 x = 810

x = 81

Answer 2

You can do Guess and Check(but the smart way). You first get 102 and 12. Then, you can minus 3 from each one of them, getting 99 and 9, also being 11 times the other, so then the answer would be 180 - 99 or 90 - 9, equaling 81