Question 21
1) ABCD is a parallelogram (given)
2) [tex]\overline{BC} \parallel \overline{AD}, \overline{AB} \parallel \overline{CD}[/tex] (opposite sides of a parallelogram are parallel)
3) [tex]\angle BCA \cong \angle CAD, \angle BAC \cong \angle ACD[/tex] (alternate interior angles theorem)
4) [tex]\angle A \cong \angle C, \angle B \cong \angle D[/tex] (congruent angles added to congruent angles form congruent angles)
Question 22
Using vertical angles, we know that the angle adjacent to angle 1 in the parallelogram is 122 degrees. Since adjacent angles of a parallelogram are supplementary, we know angle 1 measures 58 degrees.
