Answer:
The top most box, the box at the bottom right corner to the left of the right most one, and the one at the bottom left are 35º
The box in the middle to the left is 70º
The box next to the 45º one at the bottom right is 55º
The box in the middle that's down a little bit is 110º
I'll draw it out in case it's too confusing
Step-by-step explanation:
Angle D is a right angle, and we already know the angle there is 55º, so if you subtract 55 from 90, you get 35, which gives you the answer for the two other angles as well.
Since angle A is pretty much the same as angle D, the interior angle of that triangle is also 55º, allowing you to do 180 - 110 = 70 after taking into account that all interior angles of a triangle have to add up to 180º, and adding the two that were already there.
The angle adjacent to the one that's 35º at B has to be 55º as well because the 70º is vertical, and C is the same as D, meaning the other angle would be 55º, so due to the AA postulate, you should figure out that angle measure
For the wide triangle at the bottom, the two known angles are 35º, which means you subtract 70 from 180, giving you 110º.