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in the diagram shown, $m\\angle xwz = 90^\\circ$. what is $x$? $(5x + 5…

Question

in the diagram shown, $m\angle xwz = 90^\circ$. what is $x$? $(5x + 5)^\circ$ $(2x + 8)^\circ$

Explanation:

Step1: Sum angles to 90°

$\angle XWZ = (5x+5)^\circ + (2x+8)^\circ = 90^\circ$

Step2: Combine like terms

$7x + 13 = 90$

Step3: Isolate term with x

$7x = 90 - 13$
$7x = 77$

Step4: Solve for x

$x = \frac{77}{7}$

Answer:

11