Svetakotok Svetakotok

13-05-2023
Mathematics

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in the diagram below chords ab and cd intersect at e if mAEC =4x mAC=120 and mDB = 2x what is the value of x

in the diagram below chords ab and cd intersect at e if mAEC 4x mAC120 and mDB 2x what is the value of x class=

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mhanifa mhanifa

13-05-2023

Answer:

x = 20

--------------------------

According to the Angles of Intersecting Chords Theorem, the angle between two chords is half the sum of the intercepted arc measures :

m∠AEC = m∠DEB = (mAC + mDB)/2

Substitute and solve for x:

4x = (120 + 2x)/2
4x = 60 + x
3x = 60
x = 20

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