Question

find the value of x in the following figure​

Answer 1

the angle between angle of 30 degree and angle x is equal to 2x+6degree (opposit angles)

therefore

30+2x+6+x=180

36+3x=180

3x=180-36

x=144/3

x=48

and 2x+6=2*48+6

=96+6

= 102

hoping it may help have a good night

Answer 2

Given:-

• ∠EOF = 30°,
• ∠DOC = x° &
• ∠AOB = (2x + 6)°.

To Find: Value of x.

Here,

• ∠AOF = ∠DOC (Vertically opposite angles)
• ∴ ∠AOF = x°

Also,

∠EOF + ∠AOF + ∠AOB = 180° (Linear Pair)

⟹ (30°) + (x°) + (2x + 6)° = 180°

⟹ 30° + x° + 2x° + 6° = 180°

⟹ 3x° + 36° = 180°

⟹ 3x° = 180° - 36°

⟹ 3x° = 144°

⟹ x° = 144°/3

⟹ x° = 48° ...(Ans.)