. If, the difference in the measures of two complementary angles is 120, then the measures of the angels are


 If, the difference in the measures of two complementary angles is 120, then the measures of the angels are

(a)      450 and 450.

(b)      500 and 400.

(c)      510 and 390.

(d)      550 and 350.

 

Best Answer

Ans. (c)

Explanation: Consider two complementary angles be x and y.

                    x – y = 120    …(i)    (Given)

                    x + y = 900    …(ii)   (Sum of two complementary angles)       

                    from (i) and (ii), we get

                    x = 510 and y = 390

 

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