Answer:
Proof is stated below.
Step-by-step explanation:
Given: ABCD is a rhombus.
To Prove: <1 is congruent to <2.
Therefore,
Given: ABCD is a rhombus.
AD = BC = CD = BA: Definition of a parallelogram / rhombus ; four equal sides.
DO = OB ; AO = OC ; Diagonals of a parallelogram bisect each other.
Triangle DOC is congruent to BOA ; SAS (Side-Angle-Side) theorem.
<1 is congruent to <2 ; Definition of a parallelogram ; consecutive angles are supplementary.
Hence, proved.
