Solve for x.
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'.