The assembled steps shows that the sum of the interior angles of a triangle is 180
- y || z _______ GIVEN
- m∠1 + m∠2 + m∠3 = m∠LAM ___ Angle addition postulate
- m∠1 + m∠2 + m∠3 = 180° ___ sum of angles on a straight line.
- m∠A = m∠2 = vertically opposite angles
- m∠3 = m∠5 ____ corresponding angles
- m∠1 = m∠6 _____ corresponding angles
- m∠1 + m∠2 + m∠3 = m∠2 + m∠5 + m∠6
To prove that the sum of the interior angles of a triangle is 180 :
- Angle marked 1 is corresponding to the angle marked 6 in the triangle.
- Angle marked 3 is corresponding to the angle marked 5 in the triangle
- Angle marked A is vertically opposite the angle marked 1.
- The sum of m∠1 + m∠2 + m∠3 gives 180 ; which must also be the sum of m∠2 + m∠5 + m∠6
Hence, sum of the interior angles of a triangle is 180°
Learn more :https://brainly.com/question/22227896?referrer=searchResults
