Question

in the figure, we have angle 1= angle 2=angle 3=angle 4.show that angle ABC= angle DBC

Answer 1

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."