Question

Find the measure of an angle, if seven times its complement is 10⁰ less than three times its supplement

Answer 1

Step-by-step explanation:

Let the angle be =x 

therefore,               (3*(180-x))   -   (7*(90-x)) = 10.

                             or 540 - 3x - (630-7x) = 10

                             or 540 - 3x - 630 + 7x = 10

                             or 4x - 90 = 10

                             or 4x = 10 + 90

                             or 4x = 100

                             or x = 100/4

                              x = 25

Hence the angle is 25 degrees.

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