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HELP ME FIND ANGLE A

 

 Apr 27, 2020
 #1
avatar+463 
+3

Hey there, guest!

 

Since they mentioned that BE is congruent to BC, that means that triangle BCE is isosceles. And since it is isosceles, angle C is equal to angle E. So, angle E = 35 degrees.

 

From here, everything is much easier. Since we know angle DFB is 102, that means angle DFE is 180-102=78 degrees (since EB is a straight line).

 

We also know angle EDF is 180-35-78=67 degrees (using the triangle theorem). 

 

Now, I think I've done enough for you. I think you can solve the rest on your own!

 

You got this!

:)

 Apr 27, 2020
edited by lokiisnotdead  Apr 27, 2020
 #2
avatar+633 
+3

Another way:

Working off of lokiisnotdead, we know that triangle \(BCE\) is isosceles. That means angle EBC is 180 - 35 * 2 = 110

 

 - By supplements we know that FBA is 180-110=70

 - By supplements we know that AFB is 180-102 = 78

 

Now that you know two angles of triangle AFB, you can find the third angle, which is angle \(A\).

   

     *All angles in a triangle add up to 180

 Apr 27, 2020

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