The missing angles from the corresponding angles in the image are a = 32°, b = 47°, and c = 101°.
The missing angles from the corresponding angles in the image are:
a = 32° (corresponding to d)
b = 47° (corresponding to C)
c = 101° (corresponding to f)
I found these angles by using the following properties of parallel lines and transversals:
Corresponding angles are congruent.
Alternate interior angles are congruent.
Supplementary angles add up to 180°.
Finding angle a
Angle a is corresponding to angle d, so they are congruent. Therefore, angle a = 32°.
Finding angle b
Angle b is alternate interior to angle C, so they are congruent. Therefore, angle b = 47°.
Finding angle c
Angle c is supplementary to angle f, so they add up to 180°. We know that angle f = 79°, so angle c = 180° - 79° = 101°.
Therefore, the missing angles from the corresponding angles in the image are a = 32°, b = 47°, and c = 101°.