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In the diagram, m∠COE = 55°. If m∠2 = 2x and m∠3 = x+10, what is the measure of angle 2?

15

30

45

60

In the diagram mCOE 55 If m2 2x and m3 x10 what is the measure of angle 2 15 30 45 60 class=

Respuesta :

metchelle
So here is how we are going to get the measure of angle 2. 
Since given that angle COE measures 55°, we will equate m∠2 = 2x and m∠3 = x+10 with 55. So, 55 = 2x + x + 10
55 = 3x + 10
55-10 = 3x
45 = 3x << divide both sides by 3 and the result is 
15 = x
So now that we know x, we can now solve for angle 2.
m∠2 = 2x
m∠2 = 2(15)
m∠2 = 30°
I hope that this is the answer that you are looking for. 

Answer:

The answer is 30

Step-by-step explanation

  • You gather what you know

COE = 55°, m∠2 = 2x, m∠3 = x + 10

  • Then you set up an equation using that information

2x + x + 10 = 55

  • Combine like terms

3x + 10 = 55

  • Find x

X= 15

  • Plug in "x = 15" to "2x" to find out what the measure of angle 2 is

2 x 15 = 30

Therefore m∠2 = 30

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