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ABCD is a quadrilateral. If m

ABCD is a quadrilateral. If m-example-1
User Beppe
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3 votes

ANSWER

A. 9

Step-by-step explanation

The sum of the measures of the interior angles of a quadrilateral is 360. In this case, we know that angles A and D are right angles, so their measures are 90°. Also, the measure of angle B is 99° and the measure of angle C is x², so we can write an equation for x,


90+90+99+x^2=360

Combine like terms,


279+x^2=360

Subtract 279 from both sides,


\begin{gathered} 279-279+x^2=360-279 \\ \\ x^2=81 \end{gathered}

And take the square root of each side,


\begin{gathered} √(x^2)=√(81) \\ \\ x=9 \end{gathered}

Hence, the value of x is 9.

User Viktor Kireev
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