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Sia ? 6 years, 6 months ago

Construction : Draw EF || AB || CD
As AB || EF and transversal AE cuts them
{tex}\therefore{/tex} {tex}\angle{/tex}BAE + {tex}\angle{/tex}FEA = 180o . . . . . [Interior angles on same side of transversal are supplementary]
{tex}\therefore{/tex} 108o + {tex}\angle{/tex}FEA = 180o
{tex}\therefore{/tex} {tex}\angle{/tex}FEA = 180o – 108o = 72o
As EF || CD and a transversal EC intersects them
{tex}\angle{/tex}FEC + {tex}\angle{/tex}ECD = 180o . . . . . [Interior angles on same side of transversal are supplementary]
{tex}\therefore{/tex} {tex}\angle{/tex}FEC + 112o = 180o
{tex}\therefore{/tex} {tex}\angle{/tex}FEC = 180o – 112o = 68o
{tex}\therefore{/tex} xo = {tex}\angle{/tex}AEC = {tex}\angle{/tex}FEA + {tex}\angle{/tex}FEC = 72o + 68o = 140o
{tex}\therefore{/tex} x = 140o
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Mishtee Jadav 6 years, 6 months ago
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