Question
The ratio of the sum of interior angles of a polygon to
the sum of its exterior angles is 5 : 1. Find the number of sides of the polygon and the measure of each interior angle (for a regular polygon).Solution
Sum of exterior angles of any polygon = 360° Let sum of interior angles = S. Given: S : 360 = 5 : 1 ⇒ S = 5 × 360 = 1800° For an n-sided polygon: S = (n − 2) × 180 So (n − 2) × 180 = 1800 n − 2 = 10 ⇒ n = 12 If it is regular, each interior angle = S / n = 1800 / 12 = 150°.
Which one of the following is NOT a part of the/ seven pillars of NITI Ayog?
Prithviraj Raso, an epic poem about the life of the 12th century Indian king, Prithviraj Chauhan, was written by:
What was the primary focus of the national workshop convened in Ranchi, Jharkhand, from February 15-16, 2024, under the Deendayal Antyodaya Yo...
 Which of the following parameters has the highest weightage in the ‘Digital Payment Index (DPI)’?
Which is the correct statement/s about the Top 5 cities of Global Liveability Index for the year 2021?
Which substance covers the root of the tooth?
Which of the following factors is NOT considered a major challenge for the Indian economy in achieving sustained high economic growth?
How many non-permanent members does the UN Council have?
The term ‘Systematic Withdrawal Plan (SWP)’ is related to ________?
The banking fraudlent activities done by the use of fake phone calls is known as?
