Question

state and prove ASP of triangle ​

Answer 1

Shortest proof ever :

Figure in attachment .

From the figure :

∠ECB = Y [ alternate ∠s ]

∠DCA = X [ alternate ∠s ]

By angles on a straight line :

∠ECB + ∠DCA + Z = 180°

⇒ X + Y + Z = 180°

Hence we proved the ∠ sum property the easiest way.

Answer 2

HOLA MATE..!!

ANSWER:-

Proof :

Draw line a through points A and B. Draw line b through point C and parallel to line a.

triangle

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.

HOPE IT HELPS..!!