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

Answer with explanation:

A polygon with three sides is a triangle. Hence, this polygon will be a triangle.

According to the "Angle Sum Property", all the angles of a triangle must add upto a measure of 180 degrees. As mentioned, in this triangle, one angle is 15 degrees and the other is 60 degrees. In order to know the type of this triangle, we will need to know all the measures of it's angles.

Here is how we can find the measure of the third angle, since we already are aware of the measure of one angle-

Let the unknown angle be " x"

According to angle sum property,

15+ 60+ x = 180

75+ x= 180

x= 180-75

x= 105.

Now, since we know all the angles, to find out the type of triangle on the basis of it's angles, we take the angle with the larget measure, that is 105 degrees.

An angle with a measure of 105 degrees will be an obtuse angle. Hence, this triangle will be called as an obtuse angled triangle because it has one obtuse angle and two acute angles (15 degrees and 60 degrees).