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If exterior angle makes linear pair with the right angle then exterior angle is 90o.
If exterior angle makes linear pair with any of the other two angles then it is greater than 90o i.e. obtuse angle.
Consider a right triangle ABC, right angled at B.
We have: ∠B = 90o and ∠A + ∠C = 90o.
Let us consider exterior angle be x.
If exterior angle is supplement to B(i.e. ∠B + x = 180o or linear pair) then exterior angle(x) = ∠A + ∠C = 90o.
If exterior angle is supplement to any of the other two angles then exterior angle is greater than 90o.
Let us say x is supplement to ∠A then x = ∠B + ∠C = 90o + ∠C.
And 90o + ∠C is greater than 90o so, x is obtuse angle.
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What triangle has an obtuse angle?
An obtuse triangle has an obtuse angle.
What do you call a triangle containing one obtuse angle?
A triangle containing an obtuse angle is an obtuse triangle.
What is a triangle with one obtuse angle?
obtuse triangle
What kind of the triangle according to sides of the angle?
If one angle is a right angle, it is a right triangle. If one angle is an obtuse angle, it is an obtuse triangle. If there are no right nor obtuse angle then it is an acute triangle.
What statement is always true about an obtuse triangle?
An obtuse triangle has 1 obtuse angle and 2 acute angles which add up to 180 degrees.
