Q.10. In fig, if ABIIDE, Angle ABC=115°and angle BCD=55° then find
value of x
plz give the answer
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this is your answers please mark me braineast
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Draw a line 'l' parallel to DE through C .
From the figure
i ) y + 115° = 180°
[ Interior angles on the same side of the Transversal ]
=> y = 180° - 115°
=> y = 65° -- (1)
and
Similarly
ii) x + z = 180°
=> z = 180° - x ---(2)
Also,
y + 55° + z = 180°
[ Angles at a point on a line ]
=> 65° + 55° + 180° - x = 180°
=> 120° + 180° - x = 180°
=> -x = 180° - 180° - 120°
=> - x = - 120°
=> x = 120°
Therefore.,
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