In order to find the measure of anlgle 1 please consider the following:
You would have to consider the ABC triangle, then substract from 180°
Therefore we would have to make the following calculation:
m<1=180° - (90°+52°)
m<1=180° -(142°)
m<1=180°-142°
m<1=38°
The measure of angle 1 would be 38°