Question

Draw any quadrilateral, say ABCD (Fig 3.4). Divide it into two triangles, by drawing a diagonal. You get six angles 1, 2, 3, 4, 5 and 6.
Use the angle-sum property of a triangle and argue how the sum of the measures of ∠A, ∠B, ∠C and
∠D amounts to 180° + 180° = 360°.
2. Take four congruent card-board OR paper copies of any quadrilateral ABCD, with angles
as shown [Fig 3.5 (i)]. Arrange the copies as shown in the figure, where angles
∠1, ∠2, ∠3, ∠4 meet at a point [Fig 3.5 (ii)].
Fig 3.4
What can you say about the sum of the angles ∠1, ∠2, ∠3 and ∠4?
[Note: We denote the angles by ∠1, ∠2, ∠3, etc., and their respective measures
by m∠1, m∠2, m∠3, etc.]
The sum of the measures of the four angles of a quadrilateral is___________.
You may arrive at this result in several other ways also

Answer 1

Answer:

6999999999999999998