Question

What is the order of the angles from largest to smallest?
w
11
O Angle W, Angle X, Angle Y
O Angle X, Angle W, Angle Y
O Angle X, Angle Y, Angle W
O Angle Y, Angle W, Angle X
5
Х
7
Y

Answer 1

Answer: Choice B

Angle X, Angle W, Angle Y.

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Explanation:

There are two rules we'll use here, which applies to any triangle.

1. The smallest angle is always opposite the smallest side
2. The largest angle is always opposite the largest side

Since WY = 11 is the longest side, the largest angle must be angle X as it's opposite this side.

Since WX = 5 is the shortest side, the smallest angle must be angle Y as it's opposite this side.

This places angle W somewhere in the middle of angles X and Y.

The order of the angles from largest to smallest is X, W, Y which shows us that choice B is the answer.

Choice D would be the answer if you wanted to sort the angles from smallest to largest.