Question

Define Angle sum property of a triangle or prove that the sum of all the angle of a triangle​

Answer 1

Answer:

heyyy!!

the angle sum property states that the sum of all angles of a triangle is equal to 180°

we can prove this by the method of cutting and pasting.

draw a triangle without specifically measuring its angles.

cut the three angles.

paste them, and you will observe that the form a straight line.

Answer 2

Answer:

It is common knowledge that the sum of all the interior angles of a triangle equals 180°, but how do we know that? To prove that the sum of all angles of a triangle is 180 degrees, you need to understand some common geometric theorems. Using a few of these geometric concepts, there is a simple proof that can be written.

Step-by-step explanation:

1.Draw a line parallel to side BC of the triangle that passes through the vertex A.

2.Write the equation angle PAB + angle BAC + angle CAQ = 180 degrees.

3.State that angle PAB = angle ABC and angle CAQ = angle ACB.

4.Substitute angle PAB and angle CAQ in Equation 1 for angle ABC and angle ACB (as found in Equation 2 and Equation 3) respectively.

Hence proved

have a great day ✌✌