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In the diagram, point E lies on line segment AB, and triangles AED and BEC are isosceles. Also, angle DEC is twice ADE. What is the measure of EBC in degrees?

 

 Jul 11, 2022
 #1
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Both triangles are isosceles

 

Angle  AED  = 80°

 

Angle ADE  =   180 - 2(80) =  20°

 

Angle  DEC = 2ADE  = 2 * 20 =   40°

 

Angle BEC = 180  - 80 - 40  =  60°

 

Angle EBC =  (180 - 60)  /  2  =   120 /  2  =   60°

 

 

cool cool cool

 Jul 11, 2022

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