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alexira [117]
3 years ago
14

Solve for x.

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0

\huge \boxed{\mathfrak{Question} \downarrow}

  • Solve for x.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

Okay, so from the given figure we can see that, < FAE & < FAB forms a linear pair. In a linear pair, the 2 angles will together sum up to 180°. So,

  • < FAE = 4x°
  • < FAB = 2x°

__________________

From the explanation, we can understand that,

Sum of the linear pair = 180°

< FAE + < FAB = 180°

4x° + 2x° = 180°

6x° = 180°

x° = 180 ÷ 6

x = <u>3</u><u>0</u><u>°</u><u>.</u>

__________________

  • The value of x will be<em><u> 30°</u></em> (3rd option).

__________________

<u>NOTE</u> : Here, the lesser than symbol ( < ) stands for 'angle'.

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Equivalently, it is ...

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__

<em>Additional comment</em>

For calculations such as this, you need to use the most accurate value of pi available. The approximations 22/7 or 3.14 are not sufficiently accurate to give good results.

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