Question

I have three sides. One of my angle measures 15°. Another has a measure of 60°. What kind of a polygon am I? If I am a triangle, then what kind of triangle am I?

Answer 1

A polygon having three sides is a triangle.

Given that the two angles are of measure 15° and 60°.

Let the third angle of triangle be x.

∴ 15° + 60° + x = 180° ...[Angle sum property of a triangle]

⇒ x = 180° – 60° – 15°

⇒ x = 105°

Thus, one angle of triangle is an obtuse angle.

So, the triangle is an obtuse-angled triangle.