🔥HARDEST Question of Aptitude in GATE 2021

𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) :

𝗙𝗢𝗟𝗟𝗢𝗪 𝗠𝗘 𝗢𝗡:

𝗦𝗨𝗕𝗦𝗖𝗥𝗜𝗕𝗘 𝗧𝗢 𝗠𝗬 𝗬𝗢𝗨𝗧𝗨𝗕𝗘 𝗖𝗛𝗔𝗡𝗡𝗘𝗟𝗦:

[studysimplified]

Shrenik Jain - Study Simplified (App):

[spyden]

Join corners make a pentagon . One angle of pentagon is 108 at the point where we have to find theta there will be 3 triangles so devide 108 by 3 it will be 36 .

[safar]

36
Interior angle- (2n-4)*90
For 1 side divide 5 so we get 108
180-108=72
72*2=144
180-144= 36

[shubhamraturi]

Each angle of pentagon= 108
straight line = 180
Angle inside triangle becomes = 180-108=72
All angles inside triangle = 72, 72 36

[Adi-dlvu]

Sir my opinion is please upload the answer video also... atleast one day after

[dilipdasgupta]

Joining Corners make it a regular polygon inscribed inside a circle.By Similarity between Triangle PQN and Traingle PST by Angle Angle theorem So Angle of a Traingle is 108'/3=36'

[prithvi]

If the lengths are equal then these points are placed on a circle ..and angle at centre is equal to 2thita so 2thita*r*5=2πr so thita =π/5 i.e .ans = 36

[amankantsahu]

at center a pentagon is formed and angle at base of pentagon is 108 degree 180-108=72 and othe side also 72 now in triangel p one 72+72+theta =180 and 36 degree

[pratiknile]

Sum of exterior angle of any regular figure is 360°... Here Pentagon has 5 exterior angles therefore 360/5=72 . Each triangle formed has two 72° angles therefore third angle is 180-(72+72)=36°

[_TharunKumar]

Other angles inside a triangle are 180-108 = 72⁰
So theta will be
= 180 - 72 - 72
= 180 - 144
= 36⁰

[Cpallab]

<P + <Q + <R + <S + <T = 180
You can solve it by using Concept of ARC …(Just draw a circle outside and do calculation)

[someshjaipuria]

Angles inside Pentagon are all equal to 108°, and all 5 outside triangles are isosceles then P= 180- 2×(180-108)= 36°
So Ans (D)

[kumarhimanshu_]

Bcoz of symmetry,
Sum of peek angles=360°
Than angle P will be 360°/5 = 72°

[dev-rehanAhmad]

Total angle in Pentagon is 540degree then one angle is 108 degree in Pentagon, side angle of triangle is 180-108=72, in triangle theta +72+72=180 then theta= 36 degree degree

[every_problem_has_a_solution.]

36 is the right answer
Using central angle theorem
10 theetah=360°
Theetah= 36°

[meet]

Ans:-36
Regular Pentagon at center and after playing with geometry answer is 36.

[gauravaggarwal]

36 degree
180 / 5 =36, if all segments are same

[sarabhian]

make Pentagon, angle of pentagon =2π/5 == angle of centre = 2x, x is required angle value, so x = π/5👍

[Gohanislive]

Easy
All angles of Pentagon is 108 so, as triangle prs is isosceles so angle p divides into 3 parts i.e =108/3=36 finish👌👌👌👌

[tejasramkrishna]

36 by using the sum of angles of 5 sided and triangle