Given: DBC = RST Prove: ABC > RST

Mathematics

1 answer:

masya89 [10]2 years ago

5 0

Answer:

Step-by-step 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.

<em>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.</em>

Also, <ABC is greater than <DBC.

Therefore, correct option for third statement is :

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