Answer:
- WY = 2.2
- m∠W = 63.4°
- m∠Y = 26.6°
Step-by-step explanation:
It is convenient to use the Pythagorean theorem to find the hypotenuse, given the side lengths.
WY² = WX² +XY²
WY² = 2² +1² = 4 +1 = 5 . . . . . fill in the given numbers
WY = √5
WY ≈ 2.2
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It is convenient to use the tangent relation to find the angles.
tan(W) = XY/XW = 2/1 = 2
W = arctan(2) ≈ 63.4°
You can do likewise for angle Y, or you can simply find the complement of angle W. (The acute angles in a right triangle are complements of each other.)
Y = 90° -W = 26.6°
The angle measures are ...
