Question

The diagram below shows scalene triangle WXY. The measure of WXY is 71°. Which is true about the diagram? Select two options.

Answer 1

A and B

Step-by-step explanation:

hope it helps

Answer 2

Step-by-step explanation:

The diagram and complete question is shown below. The angles ∠Y and 46° are vertical angles because they lie on opposite sides of intersecting lines, then they measure the same:

`\angle Y=46^(\circ)`

So:

`m\angle WYX=\angle Y=46^(\circ)`

We know that:

`m\angle WXY=\angle X=71^(\circ) \\ \\ \\ \text{We also know that W,X,Y form a triangle, so:} \\ \\ \\ \angle W + \angle X + \angle Y=180^(\circ) \\ \\ \\ Substituting \ known \ values: \\ \\ \angle W+71^(\circ) +46^(\circ) =180^(\circ) \\ \\ \\ Isolating \ \angle W: \\ \\ \angle W=180^(\circ) -71^(\circ) -46^(\circ) =63^(\circ) \\ \\ Then: \\ \\ m\angle YWX=\angle W=63^(\circ)`

In conclusion: Correct options are:

`m\angle WYX=46^(\circ) \\ \\ m\angle YWX=63^(\circ)`