Find X & measure arc/angle | Mathematics | Page 1

dapper fieldBOT Apr 4, 2024, 1:05 AM

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trim violet Apr 4, 2024, 1:10 AM

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use this theorem

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ill give a hint the equation will be
mFGE = ½(mFE + mVD)

wraith pine Apr 4, 2024, 1:34 AM

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trim violet use this theorem

what theorem is that

trim violet Apr 4, 2024, 1:36 AM

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angle of intersecting chords if i remember correctly

west rune Apr 4, 2024, 1:38 AM

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trim violet angle of intersecting chords if i remember correctly

I've been struggling for 10 mins trying to figure out what to do after that

trim violet Apr 4, 2024, 1:39 AM

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whats the equation that you have formed

west rune Apr 4, 2024, 1:40 AM

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I have no idea mate, I gave my teacher the notes and I only remember the 180 and 360 way and those haven't worked out

trim violet Apr 4, 2024, 1:42 AM

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Alright so we have two intersecting chords for number 19 right?

west rune Apr 4, 2024, 1:42 AM

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Yes

trim violet Apr 4, 2024, 1:42 AM

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Chord FD and chord EV

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and one of the angles formed by that is angle FGE

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we have the following measurements rn:

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angle FGE = 21x+4
arc FE = 210
arc VD = 8x+2

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since they are intersecting chords, the angle formed will be equal to half of the sum of the intercepted chords of that angle and its vertical angle

west rune Apr 4, 2024, 1:44 AM

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Ok

trim violet Apr 4, 2024, 1:45 AM

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now try to form the equation using the theorem

trim violet Apr 4, 2024, 1:45 AM

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trim violet ill give a hint the equation will be mFGE = ½(mFE + mVD)

use this

trim violet Apr 4, 2024, 1:45 AM

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trim violet angle FGE = 21x+4 arc FE = 210 arc VD = 8x+2

using these values

#Find X & measure arc/angle