consider triangle wxy.\nwhich statement about the angles is true?\nangle w is greater than angle y.\nangle y…

Explanation:

Step1: Recall Triangle Angle-Side Relationship

In a triangle, the larger the side length, the larger the angle opposite to it. The sides of triangle ( WXY ) are: ( WX = 5 ), ( XY = 10 ), ( WY = 14 ). So the order of side lengths (from smallest to largest) is ( WX < XY < WY ).

Step2: Identify Opposite Angles

• Angle opposite ( WX ) (length 5) is ( \angle Y ).
• Angle opposite ( XY ) (length 10) is ( \angle W ).
• Angle opposite ( WY ) (length 14) is ( \angle X ).

Step3: Compare Angles Using Side-Length Order

From side order ( WX < XY < WY ), the angle order (from smallest to largest) is ( \angle Y < \angle W < \angle X ).

Step4: Evaluate Each Option

• "Angle W is greater than angle Y": Since ( \angle Y < \angle W ), this is true.
• "Angle Y is the largest angle": ( \angle Y ) is the smallest, so false.
• "Angle X is smaller than angle W": ( \angle X ) is larger than ( \angle W ), so false.
• "Angle W is the smallest angle": ( \angle Y ) is smaller, so false.

Answer:

Angle W is greater than angle Y.