Determine the value of angle ECB

Please help me out!

∠ECB = 60°

Step-by-step explanation:

First, find the value of x by adding them up.

x + 3x + 2x = 6x

Since we know that all of the angles create a 180° angle, we can set up a proportion.

6x = 180°

To find the value of x, divide both sides by 6.

6x ÷ 6 = x

180 ÷ 6 = 30

So now the proportion is x = 30.

Now that we now x = 30, we can plug in 30 to the angle measures.

∠DCA = 30°

∠DCE = 90°

∠ECB = 60°

So angle ECB is 60°.

hope this helps!