Question

one angel of a triangle is greater than the sum of the other two. what can you say about the measure of this angel? what type of a triangle is this?

Answer 1

As one angle of the triangle is greater than the sum of the other two angles , hence it is very much clear that greatest angle is greater than 90° as in case of right angled triangle greatest angle (90°) is equal to the sum of the other two angles . Here in this case the triangle type is obtuse triangle

Answer 2

This triangle is an obtuse angled triangle since,

In an obtuse angle we have

Vertical angle> sum of base angles