Q. 485.0( 1 Vote )

# The sides BC, CA A. 240°

B. 300°

C. 320°

D. 360°

Answer :

In Δ ABC,

we have CBF = 1 + 3 ...(i) [exterior angle is equal to the sum of opposite interior angles] Similarly, ACD = 1 + 2 ...(ii)

and BAE = 2 + 3 ...(iii)

On adding Eqs. (i), (ii) and (iii),

we get CBF + ACD + BAE =2[ 1 + 2 + 3] = 2 × 180° = 4 × 90°

[by angle sum property of a triangle is 180°] CBF + ACD + BAE = 4 right angles

Thus, if the sides of a triangle are produced in order, then the sum of exterior angles so formed is equal to four right angles = 360°

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