Question

Given:
DBC = RST

Prove:
ABC > RST

Answer 1

<ABC > <DBC.

Explanation:

Given < DBC = < RST and we need to prove < ABC is greater than <RST.

First given statement:

< DBC = < RST

Reason: Given.

Second given statement :

<ABC = <DBC+ <ABD.

Reason: Angle addition theorem.

Note: < ABC is the sum of angles <DBC and <ABD and we have < DBC = < RST. So it's an obvious thing that the sum of angles <DBC and <ABD is always greater than <RST.

Also, <ABC is greater than <DBC.

Therefore, correct option for third statement is :

<ABC > <DBC.