Q. 112

# 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 :

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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