Grade 12 Angle Sums Worksheet
Explore and apply angle sum properties in various polygons and geometric figures at a Grade 12 level. Includes questions on triangles, quadrilaterals, and more complex polygons.
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Grade 12 Angle Sums Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit. Diagrams are not necessarily drawn to scale.
1. What is the sum of the interior angles of a convex heptagon?
720°
900°
1080°
1260°
2. If the exterior angle of a regular polygon is 40°, how many sides does the polygon have?
8
9
10
12
3. The sum of the interior angles of a quadrilateral is .
4. Each interior angle of a regular hexagon measures degrees.
5. Consider a triangle ABC where angle A = (2x + 10)°, angle B = (3x - 5)°, and angle C = (x + 15)°. Find the measure of each angle.
6. A convex polygon has an interior angle sum of 1800°. How many sides does this polygon have? Explain your reasoning.
7. In the diagram below, find the value of x.