Question

UNDERSTANDING QUADRILATERALS 1 41
B
D
w
8
P
3. As before consider quadrilateral ABCD (Fig 3.6). Let P be any
point in its interior. Join Pto vertices A, B, C and D. In the figure,
consider APAB. From this we see x = 180º – m22 - mZ3;
similarly from APBC, y = 180º-m24-m25, from APCD,
2 = 180° - m26 - m27 and from APDA, w = 180° - mZ8
- mZ1. Use this to find the total measure mZ1 + m2 + ...
+ m28, does it help you to arrive at the result? Remember
2x + 2y + 2x + Zw = 360°
These quadrilaterals were convex. What would happen if the
А
Fig 3.6
B​

Answer 1

Answer

3. Solution :-