Question

In ∆ FAN , ∠F = 80° , ∠A = 40°. Find out the greatest and the smallest angle of the triangle.
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Answer 1

In ΔFAN,

∠F+∠A+∠N=180∘  (Angle sum property)

⇒80∘+40∘+∠N=180∘

⇒120∘+∠N=180∘

⇒∠N=180∘−120∘

=60∘

Now, In ΔFAN,∠F and ∠A are the largest and smallest angle.

The side opposite to the largest angle is the greatest side and the side opposite to the smallest angle is the smallest side.

Hence, the greatest and the smallest side of the triangle are AN and FN respectively.

hope it helps you

Jay Maharashtra :)

Answer 2

Answer:

Greatest angle :40

Smallest angle :80

Angle : N = 180 - (80+40)

= 60