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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?
Solution
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.
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