# Angles with Triangles and Polygons

Understanding the relationship between angles and triangles, as well as polygons, is fundamental to geometry and the study of shapes. Angles play a crucial role in determining the properties and classifications of these geometric figures, influencing everything from their interior angles to their symmetry. In the realm of triangles, angles dictate whether a triangle is acute, obtuse, or right-angled, providing insights into its geometric properties. Similarly, in polygons, angles contribute to the sum of interior angles, aiding in the identification and classification of various polygonal shapes. This intricate interplay between angles and shapes forms the cornerstone of geometric analysis and exploration.

- What is the measure of one of the exterior angles of a regular polygon with ten sides?
- How many acute angles can a scalene triangle have?
- What is an isosceles triangle?
- The measure of an interior angle of a regular polygon is 160. How many sides does the polygon have?
- What does isosceles mean in geometry?
- I am a polygon. I have five sides that equal the same, and five angles that measure the same. What am I?
- The sum of two angles in a triangle totals 62.5 degrees. What is the other angle's measure?
- How many acute angles can a right triangle have?
- How many acute angles can a quadrilateral have?
- A triangle has measures of 15 and 75. What is the angle measure of the third?
- An exterior angle of a regular polygon is 15 degrees. How many sides does the polygon have?
- If #triangleJKL# is an equilateral triangle, JK=13x+5, KL=17x-19, JL=8x+35, how do you find x and the measure of each side?
- If the largest angle of an isosceles triangle measures 106 degrees, what is the measure of the smallest angle?
- What is the sum of the measures of the interior angles of an octagon?
- How many acute angles can an isosceles triangle have?
- Work out the size of one interior angle of a regular 15-sided polygon?
- What is the relationship between the number of sides a polygon has and its vertices?
- How do you classify the triangle given 2 cm, 2 cm, 2 cm?
- How do you find the interior angle of a polygon?
- How are isosceles and equilateral triangles the same?