The answer is 142 degrees. Angles m<1 and the 38 degree angle are supplementary angles. Supplementary angles equal 180 degrees so, you would do 38 + m<1 = 180. Since you don’t know angle 1, you would subtract 38 from both sides. Once you do that, you get your answer of 142 degrees.
The measure of the angle is half the measure of the opposite arc.
.. ? = 78°/2 = 39°
3 should be added to the tiles
1 because 10/9= 1 1/10
which is closer to 1