Question

if 5x+14 and 4x5 are complementary angles then the angles are
A)48°,42°
B)55°,35°
C)33°,57°
D)31°,59°​

Answer 1

Answer:

5x+14=90

5x=90-14

5x=76

x=76/5

Step-by-step explanation:

4x5=90

4x=90/5

4x=18

x=18/4

x=9/2

Answer 2

Given,

5x+14 and 4x-5 are complementary angles

To Find,

The angles are =?

Solution,

We can find the angles as follows:

It is given to us that 5x+14 and 4x-5 are complementary angles. We have to find the two angles.

Complementary angles are defined to be two angles whose sum is equal to 90 degrees. Therefore,

$(5x + 14) + (4x - 5) = 90^{o}$

$9x + 9 = 90^{o}$

$9x = 90 - 9$

$9x = 81$

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

Substituting the value of x in the given equations,

$5x + 14 = 5*9 + 14 = 59^{o} \\4x - 5 = 4*9 - 5 = 31^{o}$

Hence, the two complementary angles are D) 31°,59°​.