Question

find the ange which is 2/3 of its complementary ​

Answer 1

Answer:

Let the required angle be x.

The its complementary angle = 90-x

Given, x/(90-x) = 2/3

3x = 2*(90-x)

3x = 180-2x

3x+2x = 180

5x = 180

x = 180/5

x = 36 degrees.

Its complementary angle = 90-36 = 54 degrees.

Step-by-step explanation:

Answer 2

complementary angles sum up to = 90 °

2/3 × 90  = 2×30 = 60°  ------->  < 1

1/3 × 90   = 1 × 30 = 30° --------> < 2 [ 3/3 -2/3 = 1/3 ]

so , the complementary angle of 60°(2/3) is 30° (1/3)