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AB and CD are two chords of a circle that intersect at a point E. Arc AC has an arc measure of 84° and arc DB has an arc measure of 20°. What is the measure of ∠AED?

 Jul 22, 2021
 #1
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Angles  of Intersecting Chords Theorem  :

 

Angle  AEC  =  (1/2)( arc AC  + arc DB)  =  (1/2) (84 + 20)  =  (1/2) ( 104)  = 52°

 

And angle   AED  is supplemental  to  angle  AEC  =  180 -  52   =   128°

 

cool cool cool

 Jul 22, 2021

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