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Find the measure of x in circle O

 

 Feb 28, 2021
 #1
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+1

x = 1/2(360 -168 - 40)

 

x = 76 degrees

 Mar 1, 2021
 #2
avatar+112972 
+1

Here is an interactive drawing of it.  

 

https://www.geogebra.org/classic/dg7c6mur

Melody  Mar 1, 2021
edited by Melody  Mar 1, 2021
edited by Melody  Mar 1, 2021
edited by Melody  Mar 1, 2021
 #3
avatar+112972 
+1

Here is why (let O be the centre of the circle)

 

Consider minor arc AB

Angle ACB= half of angle AOB = 20 degrees 

{When standing on the same arc the angle at the centre will be twice the angle on the circumference.}

 

Consider minor arc CD

Angle CBD = half of angle COD = 84 degrees

 

Pink angle at E = 180-84-20 = 76 degrees.

 

 

 

 Mar 1, 2021

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