Respuesta :

Answer:

40°

Option B is the correct option.

Step-by-step explanation:

The sum of complementary angles = 90°

Now, Let's find the value of X

[tex]2x + 10 = 90[/tex]

Move constant to R.H.S and change its sign

[tex]2x = 90 - 10[/tex]

Calculate the difference

[tex]2x = 80[/tex]

Divide both sides of the equation by 2

[tex] \frac{2x}{2} = \frac{80}{2} [/tex]

Calculate

[tex]x = 40[/tex]

Hope this helps...

Best regards!

NoblePenguin

Answer:

[tex]\boxed{x = 40}[/tex]

Step-by-step explanation:

Part 1: Determining the type of angles that need solved

First, we need to look at the angles provided to notice a key detail -- they add up to make a 90 degree angle. Therefore, we can just add the two values together, set them equal to 90, and solve for x.

Part 2: Setting up an equation

Now, using the information we just retrieved, we need to set up an equation for us to solve:

[tex]10 + 2x = 90[/tex]

Part 3: Solving the equation

Finally, just solve for x:

[tex]10 - (10 + 2x) = 90 - 10[/tex]     Subtract 10 from both sides to isolate the variable and its coefficient.

[tex]\frac{2x}{2} = \frac{80}{2}[/tex]     Divide by 2 on both sides to isolate the variable.

[tex]\boxed{x = 40}[/tex]

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