Question

find the value of x​

Answer 1

Answer:

the value of x is 150°

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Answer 2

Answer:

$150 \degree$

Step-by-step explanation:

< DEA + 120° = 180° ( Linear pair theorem )

< DEA = 60°

Now,

In ΔADE

< DAE + < DEA + < ADE = 180° ( bcoz sum of interior angles of triangle is 180° )

30° + 60° + < ADE = 180°

< ADE = 90°

Now,

< ADE + < CDE = 180°

90° + < CDE = 180°

< CDE = 90°

Now,

In ΔDCF

< CDF + < CFD + < DCF = 180°

90° + 60° + < DCF = 180°

< DCF = 30°

Now,

< DCF + x = 180°

30° + x = 180°

x = 150°