Question

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Answer 1

Answer:

Step-by-step explanation:

<1=<2  

<3=<4

Adding <1 to both angles

<3+<1 = <4+<1

As mentioned above, <1=<2

Therefore, <3+<1=<2+<4

Which means: <ABC = <DBC

The Euclid's axiom used here is: "If equals are added to equals, the wholes are equal."

Answer 2

Answer:

According to an Euclid's postulate

• if A is equal to B, B is equal to C then A is also equals to C.

So, in question,

given

• angle 1 = angle 3. ...1
• angle 2= angle 4. ...2
• angle 3= angle 4. ...3

from 3 and 2,

angle 3= angle 2. ...4

from 4 and 1

angle 1 =angle 2

Thanks for giving chance to answer.