Question

2. Find the number of sides in a regular polygon,
if its each interior angle is:
(i) 160°
(ii) 135°
1
(iii) 15 of a right angle.​

Answer 1

Answer:

Your answer is 135 degree

hope it will help you

Answer 2

Answer:

The answer is

Step-by-step explanation:

1) Let no of sides of regular polygon be n

Each interior angle = 160°

Each interior angle = 160°

(2n -4) x 90° /n = 160°

180n - 360° = 160n

n = 360° /20 = 18

2) Let no of sides of regular polygon be n

Each interior angle = 135°

(2n -4) x 90° /n = 135°

180n - 360° = 135n

n = 360° /45 = 8

3) No. of sides = n

Each interior angle = 1.1/5 right angles

= 6/5 × 90

= 108°

∴ (n – 2)/n × 180° = 108°

180n – 360° = 108n

180n – 108n = 360°

72n = 360°

n = 5