Solve this q Q 2 A cyclic polygon has n sides such that each of its interior angle measures - Maths - Circles

Question

Solve this q
Q 2 A cyclic polygon has n sides such that each of its interior
angle measures 144 ° What is the measure of the angle subtended
by each of its side at the geometrical centre of the polygon?
(a) 144 °
(b) 30 °
(c) 36 °
(d) 54 °

Varun Rawat · Accepted Answer

Measure of each interior angle + measure of each exterior angle = 180°⇒144° + measure of each exterior angle = 180°⇒measure of each exterior angle = 180° - 144° = 36° ⇒measure of each exterior angle = 360°number of sides of polygonn⇒36° = 360°n⇒n = 10Now, angle subtended at the centre = 360°number of sides of polygonn = 360°10 = 36°

Solve this q Q.2. A cyclic polygon has n sides such that each of its interior angle measures 144 ° . What is the measure of the angle subtended by each of its side at the geometrical centre of the polygon? (a) 144 ° (b) 30 ° (c) 36 ° (d) 54 °

Solve this q
Q.2. A cyclic polygon has n sides such that each of its interior angle measures 144 $°$ . What is the measure of the angle subtended by each of its side at the geometrical centre of the polygon?
(a) 144 $°$
(b) 30 $°$
(c) 36 $°$
(d) 54 $°$