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The difference in the measures of the two complementary angles is 12 find the measure of the angles |
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Answer» Let us ASSUME the angle to be 'a'. The Complement of a is GIVEN by = 90 - a The Difference Between Both The ANGLES That Is Given In The Question = 12 Calculating The Difference: => (90 - a ) - a = 12 Opening the bracket: => 90 - a - a = 12 => 90 - 2a = 12 Taking 90 to the other side of the equation we get: => - 2a = 12 - 90 => - 2a = - 78 Taking - 2 to the other side of the equation we get: => a = - 78 / - 2 => a = 39 (When we divide a negative NUMBER by a negative number the result we obtain will always be positive) THEREFORE, we obtain the value of 'a' as 39. Therefore, the first complimentary angle is 39° as we assumed the first complimentary angle as 'a'. Calculating the value of the second complimentary angle: = 90 - a = 90 - 39 = 51° Therefore, the value of the second complimentary angle is 51°. |
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