find the unknown angle
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243 and 53 degree will be the answer
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Extend line AB to any point on DE, say point F
So, Angle ABC = Angle AFE = 117°
( corresponding angles are equal)
Now, in ∆ADF,
Angle AFD+Angle AFE= 180°
So, Angle AFD = 180° - 117° = 63°
In ∆ADF,
Angle AFD + Angle ADF+ Angle DAF = 180°
63° + 64° + x° = 180°
x = 53°
Angle ABC + reflex Angle ABC = 360°
117° + y° = 360°
y° = 243°
So, Angle ABC = Angle AFE = 117°
( corresponding angles are equal)
Now, in ∆ADF,
Angle AFD+Angle AFE= 180°
So, Angle AFD = 180° - 117° = 63°
In ∆ADF,
Angle AFD + Angle ADF+ Angle DAF = 180°
63° + 64° + x° = 180°
x = 53°
Angle ABC + reflex Angle ABC = 360°
117° + y° = 360°
y° = 243°
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