der any quadrilateral ABCD. Draw a diagonal, say AC.
Now the quadrilateral is divided into two triangles, i.e. A ABC
and AACD
In AABC.
CAB + ZABC + ZBCA = 180(Angle sum property of a triangle)
and in AACD,
ZDAC + ZACD + LCDA = 180° (Angle sum property of a triangle) A
(2)
Adding (1) and (2), we get
ZCAB + ZABC + ZBCA + ZDAC + ZACD + 2CDA = 180° + 180
Rearranging the angles on the left hand side, we get
(ZCAB + ZDAC) + ZABC + (ZBCA + ZACD) + ZCOA = 360
ZDAB+ ZABC + ZBCD + ZCDA = 360°
Therefore, the sum of the angles of a quadrilateral is 360°
aple 4. Find the value of a and b in the adjoining firun
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