Answer:
135°
Don't worry I won't scam you
Step-by-step explanation:
If you look closely at the figure you can see it is divided into fourths, as squares.
We know that squares have a right angle measuring 90°.
We can also see that that 90° is split in two.
So let's do the math...
90° / 2 = 45°
Okay so the giant triangle holding w° has it's corner measuring 45°. So the little parallelogram in the triangle has one of it's angles measuring 45°. Since angles are congruent we know that another angle measures 45°. We also know that a parallelograms angles must always add up to the magic number of 360°. So our equation is
45° + 45° + w° + w° = 360°
90° + 2w° = 360°
90° - 90° + 2w° = 360° - 90°
2w° = 270°
2w° / 2 = 270° / 2
w° = 135°
Hope this helped you. It's really hard to explain through typing without being able to point at the model you gave
