Question

an exterior angle is drawn to a triangle if the exterior angle is acute then what type of triangle will be formed?

Answer 1

Answer:

Obtuse ..........

Step-by-step explanation:

Exterior angle = Sum of two opposite interior angles

If exterior angle is acute (<90degree) that means sum of two angles of traingle is less than 90, there third angle would have to be above 90 degree otherwise traingles wouldn't be possible as sum of all angles of traingle is 180

Answer 2

Since exterior angle is >90 which means sum of opp angles is also >90

i.e. angle A + angle B < 90

By angle sum property,

angle A + angle B + angle C = 180

angle A + angle B = 180- angle C

since angle A + angle B < 90

=> angle C < 90, which is an obtuse angle

=> Triangle is an obtuse angle ∆

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