Mathematics High School

Use this diagram and information given to find mangleAFE.


abcdef500


Given: mangleAFB = mangleEFD = 65°


Points B, F, D and points E, F, C are collinear.


The measure of angleAFE is

°.

Use This Diagram And Information Given To Find MangleAFE.abcdef500Given: MangleAFB = MangleEFD = 65Points

Answers

Answer 1

Since they are collinear, it means the BFD is a straight line and all the angles formed by the lines resting on a straight line add up to [tex]180[/tex] degrees. So, [tex]65 + 65 + x = 180[/tex]

When we add [tex]65[/tex] and [tex]65[/tex] we get [tex]130[/tex]. So,

[tex]130 + x = 180\\\\x = 180 - 130 = 50\\[/tex]

Henceforth, [tex]x[/tex] or angle [tex]AFE[/tex] is equal to [tex]50[/tex] degrees. :D

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