Question

In the given figure , if angle 1 is equal to angle 3, angle 2 is equal to angle 4 and angle 3 is equal to angle 4 ,then find the relation between angle 1 and angle 2 , using a Euclid axiom.
Number :-17

Answer 1

Answer:

<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."