Question
Find the value of X in the given figure:
src="http://ixambee.com/questionimage/ssc/SSC-MT18-E-68.jpg" alt="" width="628" height="427" />Solution
In the given figure ∠ABF + ∠CBF = 180ห (Angles in a straight line) 75ห + ∠CBF = 180ห ∠CBF = 105ห Now, in โCBE ∠CBE + ∠BCE + ∠CEB = 180ห 105ห + ∠BCE + 44ห = 180ห ∠BCE = 180ห - (105ห+ 44ห) ∠BCE = 31ห ∠BCE + ∠DFB = 180ห (Sum of opposite sides of Cyclic Quadrilateral) ∠DFB = 180ห - 31ห = 149ห ∠DFB + ∠AFB = 180ห ∠AFB = 180ห - 149ห = 31ห In โABF ∠AFB + ∠FAB + ∠AFB = 180ห ∠FAB = 180ห-(75ห+31ห) = 74ห
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