Q112 of 158 Page 159

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?

Given:


Polygon have 3 sides


One angle is 15°


Another angle is 60°


Formula Used/Theory:-


→ Angle sum property


Sum of all angles of triangle is 180°


If polygon have 3 sides than


Polygon must be a triangle .


By angle sum property


Sum of all angles of triangle is 180°


If;


One angle is 15°


Another angle is 60°


15° + 60° + x = 180°


x = 180° - 75° = 105°


if all angles are different then triangle cannot be equilateral or isosceles triangle and none of the angle is 90°


∴ triangle cannot be right angled triangle


∴ triangle is scalene triangle


Result:- polygon is scalene triangle


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