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

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

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

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

explanation:

step-by-step explanation: