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In the given figure, $$ABCD$$ is a rectangle. The measure of angle $$x$$ is _______________ degrees.
Correct Answer: 100
Let us mark the points as shown in the figure asΒ $$E$$ , $$G$$Β and $$F$$
Now, line $$AB$$ is parallel to $$CD$$
So, $$\angle BEF+162=180$$Β°
$$\angle BEF=18$$Β°
And, $$\angle EFG=28$$Β°
Now, in triangle $$BEF$$
$$\angle EBF+\angle BFE+\angle FEB=180$$Β°
$$90+\angle BFE+18=180$$Β°
$$\angle BFE=72$$Β°
Now, Since lines $$AB$$ and $$BC$$ are parallel
So, $$x=\angle BFG$$
or, $$x=\angle BFE+\angle EFG$$
or, $$x=72+28=100$$Β°
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