In the adjoining figure, show that
+
+
+
+
+
=360°

Proof
In triangle BDF,
+
+
= 180°[Sum of angles of triangle] _______________ (i)
In triangle BDF,
+
+
= 180°[Sum of angles of triangle] _______________ (ii)
From equation (i) and (ii),
(
+
+
) + (
+
+
) = (180°+180°)
⇒
+
+
+
+
+
= 360°Proved.
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