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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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. In a triangle, the second angle measures twice the first, and the third
IRISSAK [1]

Answer:

First angle = x = 35°

Second angle = 2x = 2(35) = 70°

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Step-by-step explanation:

<u>Given : </u>

The second angle measures twice the first, and the third angle measures 5 more than the second.

Sum of angles = 180°

<u>Solution : </u>

Let the first angle be x

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Second angles = 2x

Third angle = 2x + 5

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<u>Solving x value :</u>

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