community around the world.

Activity Discussion Math EXPLAIN INTERIOR ANGLE SUM PROPERTY OF A TRIANGLE

Tagged: , ,

• # EXPLAIN INTERIOR ANGLE SUM PROPERTY OF A TRIANGLE

Posted by on June 22, 2023 at 5:05 pm

What is the sum of all interior angles of a triangle and explain how ?

• This discussion was modified 3 months ago by  Suraj.
replied 3 months ago 2 Members · 1 Reply
• ### Nayani

Member
June 22, 2023 at 5:36 pm
0

The sum of all interior angles of a triangle is always 180 degrees. This property holds true for all triangles, regardless of their shape or size.

Proof of ANGLE SUM PROPERTY THEOREM:

Step 1: Draw a line AB through the vertex P and parallel to the side QR of a triangle PQR.

Step 2: ∠APQ + ∠QPR + ∠RPB = 180 degrees

[Linear Pair theorem] -(1)

Step 3: ∠APQ = ∠PQR [Alternate interior angles] -(2)

Step 4: ∠RPB = ∠PRQ [Alternate interior angles] -(3)

Step 5: Substituting equation (2) and (3) in equation

Thus, the theorem is proved.

Start of Discussion
0 of 0 replies June 2018
Now
+