Question

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

Answer 1

Answer:

59° and 31°

Step-by-step explanation:

both should add up to 90 because complementary angles

5x+14 + 4x-5 = 90

9x +9 = 90

9x = 90-9 = 81

x = 81/9 = 9

we found the value of x

First angle = 5x+14 = 5*9 + 14 = 45+14 = 59°

Second angle = 4x-5 = 4*9 - 5 = 36-5 = 31°

Answer 2

Concept:

2 angles whose sum=90 deg are know as complementary angles.

Given:

We have been given that 5x+4 and 4x-5 are complementary to each other

Solution:

As these 2 are complementary their sum is 90°.

We can say that

5x+14+4x-5=90°

9x-+9=90°

9x=90-9=81

9x=81

x=81/9=9

as x=9

the angles are

5×9+14=59

4×9-5=31

59°+31°=90

Answer:

x=9

the angles are

59°  31°

hope it helps

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