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Find the value of X

A: 7
B: -7, 7
C: 49
D: -49, 49

Find the value of X A: 7 B: -7, 7 C: 49 D: -49, 49-example-1

1 Answer

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Hi there! The answer is B. -7 or 7

The angles in a quadrilateral always add up to 360°. Therefore the angle of P is

360 - 105 - 75 - 131 = 49

So the angle of P is 49° and equals x^2. Therefore we get the following equation

{x}^(2) = 49

Take the square root of both sides

x = √(49) = 7
OR

x = - ( √(49) ) = - 7

Since the angle must be positive, the value can as well be -7 as 7 (because the square of both of these numbers is 49°). Hence, the answer is B.


User John Vottero
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