Question

Find an angle which is 5 degrees more than four times its supplement

Answer 1

Answer:

Let the angle be x.

Then its supplementary angle be (180

o

−x).

Then by the problem,

x=4(180

o

−x)+5

o

or, 5x=725

o

or, x=145

o

.

The required angle be 145

Answer 2

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Let the angle be x.

Then its supplementary angle be

=(180°−x).

Then by the problem,

x=4(180°−x)+5o

or, 5x=725°

or, x=145°

The required angle be 145°