Question

UNDERSTANDING QUADILATERALS
1. The interior angle of a regular is 108°. Find the number of sides of the polygon.
2. The exterior angle of a regular polygon is one-fifth of its interior angle. How many sides have the polygon?
3. The measures of two adjacent angles of a parallelogram are in the ratio 4: 5. Find the measure of each of the angles of the parallelogram.
4. If an exterior angle of a regular polygon is 45°, then find the number of its sides.
5. If an interior angle of a regular polygon is 162°, then find the number of its sides.
6. Find the measure of an interior angle of a regular polygon having 15 sides.
7. An angle of a parallelogram measures 70°. Find the measure of the remaining three angles.
8. One angle of a quadrilateral is 111° and the remaining three angles are equal. Find three angles.
9. What is the ratio of the interior angles of a pentagon and a decagon?

Answer 1

Answer:

the result is 3/8

Step-by-step explanation:

the sum of the interior angles of the pentagon is 3 * 180. the sum of the interior angles of the decagon is 8 * 180. the ratio of the sum of the interior angles of a pentagon to the sum of the interior angles of a decagon is (3 * 180) / (8 * 180)