Question

The complement of an angle is 2/3 of the other,then the angle is:

Answer 1

Step-by-step explanation:

let the angle be x

complement of the angle = 90-x

according to the question,

2/3x = 90-x

or, 2/3x+x = 90

or, 2x+3x/3 = 90

or, 5x/3 = 90

or, 5x = 270

or, x = 54

hence the measure of the angle is 54 degree. Therefore, it is an acute angle

Answer 2

Answer:

54 degrees

Step-by-step explanation:

= x + 2/3 x = 90

= 3/3 x = 2/3 x = 90

= 5/3 x = 90

  x =  90 multiplied by 3,divided by 5

    x = 270 divided by 5

       x = 54

      2/3 x = 36

therefore the complementary angles are 54 degrees and 36 degrees