Calculate angle X in a 5-sided irregular Polygon | Learn how to Solve this Geometry problem Quickly

Learn how to find the angle X in the given diagram. 5-sided irregular Polygon. Solve this tricky geometry problem by using interior angle sum formula.
Today I will teach you basic tips and hacks to solve this tricky geometry problem in a simple and easy way. Step-by-step tutorial by PreMath.com
• Calculate angle X in a...
Need help with finding the angle X in this complex Geometry question ? You're in the right place!
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Calculate angle X in a 5-sided irregular Polygon | Learn how to Solve this Geometry problem Quickly
#FindAngleX #Geometry #Polygon #GeometryMath #InteriorAngleSum #5SidedPolygon #IrregularPolygon
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#PythagoreanTheorem #Pythagorean #ParallelLines
#HowtoCalculatethedistance #Findthedistanceofthelinesegment #LineSegment #length #distance #blackpenredpen #ComplementaryAngles #OlympiadMathematics
#FindtheAngleX #HowtoSolvethisTrickyGeometryProblemQuickly #IsoscelesTriangleProperty
#IsoscelesTriangle #IsoscelesTriangles #Isosceles #Triangle #Triangles
#CorrespondingAngles #ExteriorAngleTheorem #AlternateInteriorAngles #CyclicQuadrilateral
Olympiad Mathematics
pre math
Po Shen Loh
Learn how to find the angle X
Alternate interior angles
Vertical Angles
exterior angle theorem
Exterior Angles
premath
premaths
irregular Polygon
Polygon
5-sided irregular Polygon
5-sided Polygon
Interior Angle Sum
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[@prashant245100]

I love watching your video

[@PreMath]

Glad you think so!
Thanks for your continued love and support!
You are awesome, Shekhar. Keep it up 👍
Love and prayers from the USA! 😀
Stay blessed 😀

[@banja9172]

If you don't remember the formula for the inner angle of a polygon, think of how many triangles you can exactly fit into it. In this case 3, so it's 180*3.

[@coyotejc1]

Nice trick. Thank you.

[@NEMDT]

its 180(n-2)

[@banja9172]

@@NEMDT No need to repeat the obvious, we already know that. I was just giving a way to visualize (and remember) it. You can fit n-2 triangles in am n sided polygon.

[@MasterJENNY.]

ye trick mast h vro ,♥️

[@thomasalvis2282]

I took a different approach, extending the sides with angle x to make a quadrilateral.

[@massimogranzotto5979]

Complimenti professore con spiegazioni fatte così bene mi fa appassionare alla geometria.
Grazie ancora

[@PreMath]

Felice di sentirlo!
Grazie per il vostro continuo amore e supporto!
Sei fantastico. Continua così 👍
Amore e preghiere dagli Stati Uniti! 😀
Sii benedetto 😀

[@yalchingedikgedik8007]

Thanks PreMath
Very nice and useful .
Good luck

[@HappyFamilyOnline]

Amazing video👍
Thanks for sharing😊😊

[@alster724]

Quick and easy. Got it in 10 seconds.

[@santiagoarosam430]

Another way to solve it.- We can transform the pentagon of the proposed scheme into a quadrilateral by prolonging the left side of the 52º angle and the lower side of the 144º angle until their intersection in the new vertex “B”, which together with the deleted vertices determines an isosceles triangle with angles ∠B , ∠(180-X) and ∠(180-X) → ∠B=180º - 2(180º - X) → ∠B=2X - 180º →→ In the constructed quadrilateral, the sum of internal angles is 360º → 52º+86º+144º+B = 360º → ∠B=78º →→ 78º = 2X - 180º → X=(78º+180º)/2= 129º → ∠X=129º
Regards

[@telosfd]

I did not knew this mathematical formula! Why are these two angles X equal?

[@theoyanto]

Ah...you gave us an easy one thanks, made me feel real clever :)

[@spiderjump]

3•180 - 144 - 86-52=258
258/2=129

[@PreMath]

Thanks for sharing! Cheers!
You are awesome. Keep it up 👍
Love and prayers from the USA! 😀
Stay blessed 😀

[@KAvi_YA666]

Thanks for video.Good luck sir!!!!!!!!!!!!!!

[@PreMath]

Thanks for your continued love and support!
You are awesome. Keep it up 👍
Love and prayers from the USA! 😀
Stay blessed 😀

[@AmirgabYT2185]

x=129°

[@ashiqmahmood7502]

Very nicely explained 👍

[@Copernicusfreud]

Yay! I solved it.

[@giuseppemalaguti435]

86+144+52+2x=(5-2)180....282+2x=540...2x=258...x=129

[@seroujghazarian6343]

2x+144+86+52=540
x+72+43+26=270
x+141=270
x=129°

[@user-ql4gz2bm9c]

오각형이 540도인 것을 몰라서 사각형을 덧그려서 풀어보았다.
360-52-86-144=78
180-78=102
360-102=258÷2=129

[@PreMath]

Thanks for sharing! Cheers!
You are awesome. Keep it up 👍
Love and prayers from the USA! 😀
Stay blessed 😀

[@FrankieIymon]

Great!! You made it easily understandable my teacher made it lol hard😅

[@murdock5537]

Great! Nice!

[@SithikaBalagalla]

This is great thankx rbuh

[@mahalakshmiganapathy6455]

Thank you ❤️

[@pranavamali05]

thnx

[@rosoltalosig7967]

There are two unknowns angle (x), how do you know they are the same or equal angles?

[@aiboljusupov9116]

Easy

[@samriddhadutta2104]

179

[@JEEconceptt]

129

[@PreMath]

Thanks for sharing! Cheers!
You are awesome. Keep it up 👍
Love and prayers from the USA! 😀
Stay blessed 😀

[@amitavadasgupta6985]

X=540-282)/2=258/2=129ans

[@amitavadasgupta6985]

X=129deg

[@user-kx7qy7sr7t]

👍👍👍👍👍👍

[@vincentxie3090]

2:20 I kinda didn't understand when he put the 2x in the equation

[@nia_20111]

2x means there are two unknown angles x that are equal to each other

[@naveenchatterjee3909]

Sir from which country you belong to?

[@PravinPatel-ml5vq]

My opinion is not correct -You assumed two remaining angle are equal

[@nia_20111]

It is equal as x represents one angle measure only