in the figure given below angle EFC=92 degrees and AC=BC.what are the values of XBandY
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X =180-Y
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X is 44 degrees and Y is 136 Degrees.
1) BE and AF are intersecting lines. Hence, angle EFC would be equal to angle ACB by being opposite angles on intersection. Hence, angle ACB = 92 degrees.
2) In triangle ABC, sum of all angles would be 180 degrees.
3) And AC = BC, so angle A would be equal to angle B.
4) A+ B+ C = 180 => A+A+92 = 180 degrees.
This gives angle X to be 44 degrees.
5) Also, angle B would be 44 degrees, since A= B.
6) Angle ABC + Angle DBC = 180, since both are on the same straight line.
7) Hence, Angle Y would be equal to 180-44 = 136 degrees.
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