[11] In the fig. find the value of x. *
30°
Y
34
45°
A
O [a] 64
o [b) 116
O [q] 100
(d) 109
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Answer:
In triangle ABC,
Angle B=180°-(30°+34°)
=180°-64°
=116°
Also,
ANGLE ABC +Angle CBD=180°
(linear pair)
Therefore,
Angle CBD=180-116=64°
Using exterior angle property of triangle, we get
ANGLE CBD + Angle BDE
= AngleCED
=> angle CED=64+45=109°
Option d)109° is correct.
Hope this will help you
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