Question

Prove that the opposite angles of a parallelogram are congruent.

Answer 1

please help

Answer 2

Given: //ogram ABCD with diagonal AC
Prove: <B is congruent to <D
1. ABCD is a //ogram 1. Given
2. AC is congruent to AC 2. Reflexive Property
3. AB is congruent to CD and 3. Opposite sides of a //ogram are congruent
AD is congruent to CB
4. Triangle ABC is congruent to triangle CDA 4. SSS congruence
5. <B is congruent to < D 5. CPCTC
Similarly <C is congruent to <A