Question

Which relationship is always true for the angles r, 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 beside vertex A and the extended leg. Angle r is located inside the triangle at vertex A.
x + z = y
180 degrees − x = r
x + y + z = 180 degrees
x + y + z = 90 degrees

Answer 1

here angles r, y, and z are interior angles, so we have:
m<r + m<y+ m<z = 180

Answer 2

I have a feeling the answer is B

Answer 3

furthermore, angles r and x are supplementary angles, so we have:
m<r + m<x = 180

Answer 4

I can rewrite the lat formula, as below:
180 - m<x= m<r

Answer 5

last*

Answer 6

so i am correct answer B

Answer 7

yes! correct!

Answer 8

yay!

Answer 9

:)