Question

Angle 1=angle 4 and angle 3 =angle 2. by which euclid's axiom , it can be shown that if angle 2= angle 4 then angle1= angle 3.

Answer 1

Let angle 1 = a
angle 2 = b
angle 3 = c
angle 4 = d
Given:a=d, b=d, b=c
T.P.T:a=d
Proof: b=d (given)
a=d
Therefore a=d               -------1
Since b= c
and b= d
Therefore c=d    ----------2
By 1 and 2 
a=c
The axiom used is the things equal to same things are equal to one another

Answer 2

Answer:

Step-by-step explanation:

Given:1=4, 2=4, 2=3

T.P.T:1=4

Proof: 2=4 (given)

1=4

Therefore 1=4              -------1

Since 2= 3

and 2= 4

Therefore 3=4    ----------2

By 1 and 2 

1=3

The axiom used is the things equal to same things are equal to one another