Question

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

Answer 1

The answer is 30

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

Answer 2

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.