Mathematics: Solve for x. Group of answer choices x = 6° x = 15° x = 30° x = 90°

Solve for x. Group of answer choices x = 6° x

kingdesto3481

22.09.2021

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

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°

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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 = 30°.

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The value of x will be 30° (3rd option).

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

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