Question

tell whether it is possible to draw a triangle that satisfies this set of conditions. an obtuse equiangular triangle

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°.

Step2: Define equiangular triangle

In an equiangular triangle, each angle measures $\frac{180^{\circ}}{3}=60^{\circ}$.

Step3: Define obtuse - angled triangle

An obtuse - angled triangle has one angle greater than 90°.

Step4: Compare the two types

Since each angle in an equiangular triangle is 60° (acute), it cannot be an obtuse - angled triangle.

Answer:

No