Question

In the given figure BD=BC,find the value of X ​

Answer 1

in a triangle, exterior angle = sum of opposite two interior angles

so x+35 = 115

x = 80

Answer 2

Answer:

$angle bcd = 180 - 115 = 65 \\ angle \: bdc = bcd \: \: \: \: (isoscle \: triangle) \\ then \: \: angle \: bdc \: = 65 \\ angle \: bda = 180 - 65 = 115 \\ angle \: abd = 35 + 115 + x = 180 \\ angle \: abd = x = 180 - 150 = 30$

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