Mathematics

# Find the value of x in each of the following figures.

##### SOLUTION
In the given figure, EF || BC
In $\Delta$ABC, Ext. $\angle{DAF} = 50^\circ$
$AB = BC$
$\angle A= \angle C =x$
$EF || BC$
$\angle {DAF} = \angle {ABC} = 50^\circ$
Now in $\Delta$ABC
$\angle {BAC} + \angle {ABC} + \angle {BCA} = 180^\circ$
$\Rightarrow x + 50^\circ + x = 180^\circ$
$\Rightarrow 2x = 180^\circ - 50^\circ = 130^\circ$
$\Rightarrow x= 65^\circ$
$x = 65^\circ$

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Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

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