Question

Question 112

I have three sides. One of my angle measures ${15}^{\circ }$. Another has a measure of ${60}^{\circ }$. What kind of a polygon am I? If I am a triangle, then what kind of triangle am I?

Answer 1

The polygon with three sides is called triangle.

According to the angle sum property of a triangle,
$\Rightarrow \angle A+\angle B+\angle C={180}^{\circ }\Rightarrow \angle A+{15}^{\circ }+{60}^{\circ }={180}^{\circ }\Rightarrow \angle A={180}^{\circ }-{75}^{\circ }\angle A={105}^{\circ }$
As one angle in this triangle is greater than ${90}^{\circ }$, so it is an obtuse angled triangle.