Intersection 81017

There are also two equilateral triangles ABC, and BDE, such that the size of the angle ABD is greater than 120° and less than 180° points C and E lie in the same half-plane defined by the line AD. The intersection of CD and AE is marked F. Determine the size of angle AFD.

Correct answer:

AFD =  120 °

Step-by-step explanation:

EAB=BDC=x CBE=y ABX=BYD=CYE=CXE=18060x=120x EXB=CYB=60+x AEB=180x(60+y)=120xy  ΔAEB: AB=BE x=(120xy) x=120xy y=1202x  XFYB: 60+x+(60+x)+y+AFD=360 60+x+(60+x)+1202x+AFD=360 120+2x+1202x+AFD=360  AFD=AFD=360120120=120



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Calculation of an equilateral triangle.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: