Activity 1
A. Find the sum of the measures of the angles of each convex polygon.
1. a decagon
2. dodecagon
3. a 50-gon
4. a 20-gon
5. undecagon
B. The measure of interior angle of a polygon is given. Find the number of sides in each polygon.
1. 144
2. 135
3. 1260
4. 1620
5. 200
A. Find the sum of the measures of the angles of each convex polygon.
1. a decagon
2. dodecagon
3. a 50-gon
4. a 20-gon
5. undecagon
B. The measure of interior angle of a polygon is given. Find the number of sides in each polygon.
1. 144
2. 135
3. 1260
4. 1620
5. 200
Add an Answer
More Questions From This User See All
Answers & Comments
Answer:
A. 1. a decagon
Theorem 39: If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°.
B. 3. 1260
Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.
Step-by-step explanation: