Can you find angle X? | Justify your answer | (Geometry skills explained) |

Learn how to find the angle X. Important Geometry skills are also explained: circle theorem; the Central Angle Theorem; vertical triangles. Step-by-step tutorial by PreMath.com
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Step-by-step tutorial by PreMath.com
• Can you find angle X? ...
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Can you find angle X? | Justify your answer | (Geometry skills explained) | #math #maths
Olympiad Mathematical Question! | Learn Tips how to solve Olympiad Question without hassle and anxiety!
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[@NahidMiah-e6m]

Professor, I'm first viewer 😊 very smooth explanation. ❤ i love math just because of It gives me happyness

[@PreMath]

Glad you enjoy it! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@HappyFamilyOnline]

Very nice explanation 👍 Thanks for sharing 😊

[@PreMath]

Thanks for liking You are awesome. Keep it up 👍

[@davidellis1929]

Here's a simpler solution, in two steps once you connect O to B and C. (1) Central angle BOC is double the inscribed angle BAC for arc BC, which makes it 148 degrees. (2) In quadrilateral OBDC, the angles at B and C are right angles (tangent-radius), so the opposite angles at O and D are supplementary, which makes angle BDC 32 degrees.

[@pedroteran5885]

Yep, I did that too.

[@parthtomar6987]

Nice solution sir🎉 it's first comment

[@PreMath]

Thanks and welcome ❤️ You are awesome. Keep it up 👍

[@alster724]

Last part made it easier

[@parthtomar6987]

It is a class 10th question

[@arnavkange1487]

Yes that's what

[@PreMath]

Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@36sidharthghangas32]

cob =74*2=148 angle at centre cdo = 360-90-90-148=32 X=cdo=32 vertically opposite angles

[@PreMath]

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@mariorossi5857]

Extremely easy !! Angle x = 180° - 2 . 74° Angle x = 32° ( Solved ✓ )

[@yalchingedikgedik8007]

That’s very nice It’s been difficult but the solution is easy . Thanks Sir ❤❤

[@PreMath]

Most welcome 😊 Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@mathbynisharsir5586]

Amazing sir ❤

[@PreMath]

Excellent! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@bigm383]

Mad skills (as the young people say)!

[@PreMath]

Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@soli9mana-soli4953]

32°

[@PreMath]

Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@amimaalam3357]

x=32 degrees

[@murdock5537]

Nice! CAB = 74° → COB = 148° → COD = OBD = 74° → ODC = BDO = 16° = x/2 → x = 32°

[@PreMath]

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@giuseppemalaguti435]

360-(90+90+148)=360-180-148=32

[@PreMath]

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@JSSTyger]

Angle BOC=148 (hard to explain on my phone). If those are tangent lines at B and C, 148+90+90+x=360 and x = 32

[@JSSTyger]

Ok so triangles AOC and AOB can be constructed and they will be isosceles triangles. Angle CAO and ACO = z. Angle BAO and OBA = w. Angle AOC = 180-2z. Angle AOC = 180-2w. Angle BOC = 360-(180-2z)-(180-2w)=2(z+w). We know that z+w=74. So this is how we get angle BOC = 148.

[@misterenter-iz7rz]

360-90×2-2×74=180-148=32.

[@PreMath]

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@comdo777]

asnwer= 23 isit

[@prossvay8744]

x=32

[@PreMath]

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@MateusmabialaMathews-bx8pc]

We'll e

[@EPaozi]

Désolé. Rien ne disait que DC était tangent au cercle, ni que DB l'était aussi. Donc le problème est vicié. Bonne journée !

[@ludosmets2018]

Il a clairement dit que B et C sont 'points of tangency'!

[@AmirgabYT2185]

32°?

[@Nothingx303]

As a 6th grader I can solve this question orally 😂😂😂😂

[@PreMath]

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@AyushPokhariya-bz4ux]

And yes we can believe u that ur saying truth

[@Lomon_LittlePrince]

ㅆ 이거 중3 문제잖아 ㅌㅋㅋㅋㅋㅋ

[@PreMath]

감사해요

[@Copernicusfreud]

Yay! I solved the problem in my head without using a pencil and paper.

[@PreMath]

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@arnavkange1487]

u can also find the angle by inscribed angle theorem

[@PreMath]

Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍