Question

if 3 x minus 15 degree and X + 5 degree are complementary angles find the angles​

Answer 1

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♦ 60°

♦ 30°

step-by-step explanation:

♣ Complimentary Angeles

✍️ Two angles whose sum is equal to ninety degrees (90°) are called complimentary angles.

Now,

let,

angle A = (3x -15)°

and,

angle B = (x+5)°

Its ia given that,

both are Complimentary angles,

then,

according to definition,

their sum must be equal to 90°.

=> (3x -15) + (x + 5) = 90

=> (3x + x) + (5-15) = 90

=> 4x = 90 +10

=> x = 100/4

=> x = 25

thus,

angle A = 3× 25 - 15

= 75 - 15

= 60°

=

and,

angle B = 25 + 5

= 30°

=

HENCE,

the required angles are

60° and 30°

Answer 2

Answer:

Angles are 60 degree and 30 degree.

Step-by-step explanation:

The addition of 3x - 15 degree and X + 5 degree should be 90 degree

Therefore, 3x - 15 + x + 5 = 90

                  4x - 10 = 90

                  4x = 100

                   x = 25

So, Angle 1 = 3x - 15

                   = 3(25) - 15

                   = 75 - 15

                   = 60 degree

      Angle 2 = x + 5

                     = 25 + 5

                     = 30 degree