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

Question

In the adjoining figure, show that + + + + + =360&#xB0;

Philoid · Accepted Answer

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.

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