Answer:
Angle 1 = 51º
Angle 2 = 18º
Angle 3 = 123º
Angle 4 = 39º
Explanation:
The rule of triangles is that all 3 angles of a triangle added together will be 180
So we can find angle 1 by following at rule
180-72-57
108-57
51
Angle 1 = 51º
We can find angle 2 because angle 2 and the angle measure of 72 are on a right angle so to find angle 2 we subtract 72 from 90
90-72=18
Angle 2 = 18º
We can find angle 4 because we know 2 angles in the big triangle that combine this 2 little triangles. We use angle 1 and the right angle and subtract it from 180
180-90-51
90-51
39
Angle 4 = 39º
Now we can find angle 3 since we know the other 2 angles in the smaller triangle
180-18-39
162-39
123
Angle 3 = 123º
Hope this helps please let me know if you have further questions