Question

if 5x+4 and 4x-5 are complementary angles find x​

Answer 1

Answer: 10.11

Step-by-step explanation:

Since 5x + 4 and 4x - 5 are complementary angles, so their sum is equal to 90°

i.e. (5x + 4) + (4x - 5) = 90°

or, 9x -1 = 90

or, 9x = 91

or x = 10.11°

Answer 2

Answer:

The value of x is 10.1

Step-by-step explanation:

• Complementary Angles: If the sum of two angles is 90° then the angles are called complementary angles.

        Example: Suppose x and y are complementary angles then the

                following relation must be satisfied by them → x + y = 90°

• (5x+4) and (4x-5) are complementary, so we can write

                       (5x+4) + (4x-5) = 90°

                       9x - 1 = 90°

                      9x = 90 + 1

                        x = 91/9 = 10.1

So, the value of x is 10.1