abcd and efg are parallel lines. BC=CF. Angle BFE=70°. work out the size of angle x with reasons

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sabah17 sabah17

01-06-2018
Mathematics

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abcd and efg are parallel lines. BC=CF. Angle BFE=70°. work out the size of angle x with reasons

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alarisaT alarisaT · Answer 1 · 2018-06-01T18:45:01+02:00

alarisaT alarisaT

01-06-2018

CBF = BFE (interior angles)
CBF = CFB = 70° (isosceles triangle, BC = BF)
CBF + CFB + BCF = 180° (summation of all angles in a triangle always equals 180°)
so we have : 70° + 70° + x = 180°
so x= 40°

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