Question

I NEED HELP PLEASE, THANK YOU. :) Solve for x in the figure below.

Answer 1

Answer: x = 12

Step-by-step explanation:

We know that the whole angle is 90°. Therefore, we can set up our equation like this:

90 = 50 + 3x + 4

Lets combine like terms:

90 = 54 + 3x

Now, let’s isolate the variable. To do this, we have to move 54 to the other side, making it negative.

90 - 54 = 3x

36 = 3x

Now, you divide, the leave the variable by itself.

$\frac{36}{3}$ = $\frac{3x}{3}$

Therefore, x = 12.

Answer 2

We can see that there is a right angle in the figure and that both the 50° and (3x + 4)° angle make a complementary angle (90°).

We can write an equation:

90 = 50 + 3x + 4

Solve for x.

90 = 50 + 3x + 4

~Combine like terms

90 = 54 + 3x

~Subtract 54 to both sides

90 - 54 = 54 - 54 + 3x

~Simplify

36 = 3x

~Divide 3 to both sides

36/3 = 3x/3

~Simplify

12 = x

Therefore, x = 12

Best of Luck!