Question

an angle is 4 times of its complementary angle find the angle and its supplementary angle

Answer 1

Step-by-step explanation:

Let the angle be 'x' & its complementary be 'y' & supplementary be 'z'.

From problem, x = 4y

Sum of complementary angles = 90 degrees

i.e., x+y = 90

      4y+y = 90

   5y = 90

   y = 90/5

   y = 18.

So, x= 4y = 4*18 = 72.

Therefore, required angle is 72 degrees.

Sum of supplementary angles = 180 degrees

i.e., x+z = 180

    72 + z =180

   z = 180-72

  z = 108 degrees.

So, the supplementary angle of 72 degrees is 108 degrees

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