i want all the solution of these theorems aas soon as possible
1.prove that sum of three angles of a triangle is 180 degree
2.Angle opposite to equal sides of a triangle are equal
3.Two triangles are congurent,if any two angles and included side of one triangle is equal to any two angles and the included side of the other triangle.
4.If two lines intersect at each other at point o.Prove that they are vertically opposite angles.
Assuming you want the answer for the theorem;
Prove that sum of three angles of a triangle is 180 degree
1. TO PROVE THAT SUM OF 3 ANGLES OF A TRIANGLE IS 180 DEGREE
DRAW A TRIANGLE ABC . MAKE A LINE PARALLEL TO THE BASE . Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'.
It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees.
Thus <)ABC + <)BCA + <)CAB = 180 degrees.R