Find 'x' in the given figure.
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Answer:
x = 30 °
Step-by-step explanation:
Given : angle ABD = 70 ° and angle DEF = 40°
To find : value of x i.e. angle DFE
Firstly,
we know that,
Sum of angles in same line = 180°
therefore,. angleABD + angleCDB = 180°
70° + CDB = 180°
CDB = 180° - 70° = 110°
now,. we know that,
Vertically opposite angles are equal
therefore,. angle CDB = angle EDF
CDB = EDF = 110°
Now , we also know that ,
sum of all angles in triangle. = 180°
angle EDF + angle DEF + angle DFE = 180°
putting the values of angles , we get,
110° + 40° + x = 180°
x = 30°
therefore, angle DFE = 30 °
ye hi ho na ap....
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