Which relationship is always true for the angles x, y, and z of triangle abc? a triangle is shown with a leg extending past the top vertex. the vertices are labeled abc. angle y is located inside the triangle at vertex b. angle z is located inside the triangle at vertex c. angle x is located outside the triangle between side ac and the extended leg. x + z = y y + z = x x + y + z = 180 degrees x + y + z = 90 degrees

y+z=x

Step-by-step explanation:

we know that

The Exterior Angle Property of a Triangle states that the measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles

In this problem

Angle y and angle z are interior angles of triangle ABC and angle x is a exterior angle of triangle ABC

therefore

Applying the Exterior Angle Property of a Triangle

y+z=x

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

answer: what do you mean