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Question -

In the figure, the value of x is
(a) 65°
(b) 80°
(c) 95°
(d) 120°



Answer -

In the figure, ∠A = 55°, ∠D = 25° and ∠C = 40°
 
Now in ∆ABD,
Ext. ∠DBC = ∠A + ∠D
= 55° + 25° = 80°
Similarly, in ∆BCE,
Ext. ∠DEC = ∠EBC + ∠ECB
= 80° + 40° = 120° (d)

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