Question

prove that in a triangle sum of interior angles Is 180 degree ​

Answer 1

Answer:

In order to prove that the sum of angles of a triangle is 180, you must know the theorems of angles of a triangle. We know that, alternate interior angles are of equal magnitude. ... Now we have to substitute the angles. ∠PAB + ∠BAC + ∠CAQ = 180°.

Answer 2

Question:-

• To prove sum of internal angle of triangle is 180⁰

Proof:-

• Please refer to the attachment for betterment ✔️

We have given a triangle (∆)PQR.

Construction:-

• We draw a straight line XY parallel to base to triangle QR.

Now:-

Since XPY is straight line, we can write:

∠XPQ + ∠QPR + ∠YPR = 180° ………(i)

Since XY||QR and PQ, PR are transversals,

Therefore, ∠YPR = ∠QRP (a pair of alternate angle)

Also, ∠XPQ = ∠PQP (a pair of alternate angle)

Substituting the value of ∠YPR and∠XPQ in equation (i), we get:

∠PQR + ∠QPR + ∠QRP = 180° (Proved)

• Hence proved sum of internal angle of triangle is 180⁰

Hope it helps you ✔️

@Fabled