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aliina [53]
2 years ago
11

A rectangular sheet of paper is folded at the corner like the image. Find the value of x. What’s the answer and how do you solve

?

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
7 0
X = 66°

The area folded over is a right triangle, and its void is a right triangle as well.  We have one angle marked 33° and a right angle in the bottom left.  This leaves us 180-(33+90) = 180-123 = 57°.

The folded over triangle has the same angle measurements.

We have two angles to the left of x, which form a straight angle with x.  Straight angles have a sum of 180°.  The angles that form the straight angle with x both have a measure of 57°.  This gives us:

180-(57+57) = 180-114 = 66°
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