THE TRIANGLE AND ITS PROPERTIES 119
- Find the value of the unknown interior angle x in the following figures:
6.5 ANGLE SUM PROPERTY OF A TRIANGLE
There is a remarkable property connecting the three angles of a triangle. You are going to
see this through the following four activities.
- Draw a triangle. Cut on the three angles. Rearrange them as shown in Fig 6.13 (i), (ii).
The three angles now constitute one angle. This angle is a straight angle and so has
measure 180°.
Fig 6.13
Thus, the sum of the measures of the three angles of a triangle is 180°.- The same fact you can observe in a different way also. Take three copies of any
triangle, say ΔABC (Fig 6.14).
(i) (ii)Fig 6.14