Respuesta :

Answer:

The value of x is 15 .

Option (A) is correct.

Step-by-step explanation:

As given

∠1 and ∠2 are complementary.

i.e the sum of ∠1 and ∠2 is 90° .

Thus

∠1 + ∠2 = 90°

x° + (3x+30)° = 90°

x + 3x + 30 = 90

4x = 90-30

4x = 60

x = \frac{60}{4}x=

4

60

x = 15

Therefore the value of x is 15 .

Option (A) is correct.

Answer:

A. x=15

Step-by-step explanation:

To solve this problem, we can combine like terms.

3x + (1)x are like terms.

3x + (1)x = 4x.

Since 3x and (1)x are the only pair of like terms, we are done with this step.

Complementary angles have a sum of 90°.

4x + 30 = 90.

Next, we subtract 30 from 90.

90 - 30 = 60.

Then, we divide 60 from 4.

60 / 4 = 15.

15 is the final answer.

Therefore, the value of x is 15.

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