Answer:
x = 4
Step-by-step explanation:
Look at the picture.
We have the triangles 30° - 60° - 90° and 45° - 45° - 90°.
The sides are in proportions:
30° - 60° - 90° ⇒ 1 : √3 : 2
45° - 45° - 90° ⇒ 1 : 1 : √2
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[tex]SR=ST\sqrt3\to ST\sqrt3=2\sqrt3\qquad\text{divide both sides by}\ \sqrt3\\\\ST=2\\\\TR=2ST\to TR=2(2)=4\\\\RQ=TR\to RQ=4\to x=4[/tex]
