Answer: The measure of angle 3 is 24 degree.
The given figure is image 1.
From the image angle 1 and 2 are linear angles.
That means:
[tex]x-6+5x+6=180\\6x=180\\x=30[/tex]
Angle 1 and 3 are vertical angles, so they have same measures.
So, angle 3 = x - 6 = 30 - 6 = 24.
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