Question

Which of the following statements must be true about this diagram? Check all that apply.

Answer 1

Answer:

The statements must be true are A , D , E

Step-by-step explanation:

* Lets explain the figure

- There is a triangle

- Its interior angles are x° , y° , z°

- The angle of measure w° is an exterior angle of the triangle at the

 vertex whose measure is z°

- There a fact in the triangle is the measure of the exterior angle of a

 triangle at one of its vertices is equal to the sum of the measures

 of the two opposite interior angles to this vertex

∵ w° the measure of the exterior angle of the vertex whose measure

  is z°

∵ x° , y° are the measures of the opposite interior angles of the angle

  whose measure is z°

∴ w° = x° + y°

∴ w° > x°

∴ w° > y°

* Lets find the statements must be true

# w > x ⇒ A

# x + y = w ⇒ D

# w > y ⇒ E

Answer 2

Answer:

The correct answer is,

1). w > x

2). x + y = w

3). w > y

Step-by-step explanation:

From the figure we can see that, a triangle.

From the figure we get x + y = w

Because sum of angles of a triangle is equal to the exterior angle of third angle.

Therefore w > x

Also w > y

Therefore the correct answers are,

1). w > x

2). x + y = w

3). w > y