Question

If 5x+14,4x-5 are complementary angles then the angles are

Answer 1

Answer:

59 and 31

Step-by-step explanation:

(5x+14)+(4x-5)=90°

5x+14+4x-5=90°

9x+9=90°

9×=90-9

9x=81

x=9

Now put the value of x

(5x+14)

5×9+14

45+14=59

(4x-5)

4×9-5

36-5=31

The angle are 59° and 31°

Hope it will help you and please mark me as brainliest ...

Answer 2

Answer:

First angle = 59°

Second = 31°

Step-by-step explanation:

We know that complementary angles add up to 90°.

So,

(5x + 14) + (4x - 5) = 90

9x + 9 = 90

9x = 90 - 9

9x = 81

x = $\frac{81}{9}$

x = 9

So, the first angle is  5x + 14 = 59°

The second angle is 4x - 5 = 31 °

I hope this helps!!

Regards,

Lilac584