Practice the questions given in the worksheet on interior angles of a polygon.
We know, the sum of all the interior angles of a polygon is (n – 2) × 180°. The questions are based on finding the sum of the interior angles of a polygon using the formula.
1. Is it possible to have a polygon whose sum of the interior angles is:
(a) 720°
(b) 840°
(c) 1080°
(d) 620°
(e) 22°
2. Is it possible
to construct a polygon, the sum of whose interior angles is 20 right angles? If
yes, find the number of sides of the polygon.
3. The angle of a hexagon are in the ratio 1 : 2 : 3 : 4 : 6 : 8. Find the measure of the smallest and the biggest angles.
4. One of the angle of a polygon is 100° and each of the other angles is 110°. Find the number of sides in the polygon.
5. The ratio of number two sides of two regular polygons is 3 : 4 and the ratio of the sum of their interior angles is 1 : 2. Find the number of sides of each polygon.
6. The four angle of a hexagon are 60°, 90°, 150° and 180° and the other two angles are equal. Find the measure of these equal angles.
7. The measure of four angles of a heptagon is equal and the measure of the other three angles is 120° each. Find the measure of unknown angles.
8. The four angle of a pentagon are equal and the fifth angle measure 140°. Find the measure of four equal angles.
9. The seven angle of an octagon are 132° each. Find the measure of the eighth angle.
10. The angles of a pentagon are x°, (x – 5)°, (x + 15)°, (3x – 44)° and (x – 70)°. Find x.
11. The angle of a pentagon are (x – 1)°, (x – 2)°, (x – 3)°, (x – 4)° and (x – 5)° . Find the value of x and the measure of all angles.
12. Four of the angles of a pentagon are equal. The fifth angle is 40°. Find the angles.
13. Each interior angle of a polygon is 150°. Find the sum of interior angles of a polygon which has half the number of sides of the given polygon.
Answers for the worksheet on interior angles of a polygon are given below to check the exact answers of the above questions.
Answers:
1. (a) Yes
(b) No
(c) Yes
(d) No
(e) No
2. Yes, 12
3. Smallest angle = 30° and biggest angle = 240°
4. 5
5. 3, 4
6. 120°
7. 135°
8. 100°
9. 156°
10. 92
11. 111°, 110°, 109°, 108°, 107° and 106°
12. 125°, 125°, 125°, 125° and 40°
13. 720°
● Polygons - Worksheets
Worksheet on Polygon and its Classification
Worksheet on Interior Angles of a Polygon
Worksheet on Exterior Angles of a Polygon7th Grade Math Problems
8th Grade Math Practice
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● Polygons
Polygon and its Classification
Interior and Exterior of the Polygon
Number of Triangles Contained in a Polygon
Angle Sum Property of a Polygon
Problems on Angle Sum Property of a Polygon
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