Question

Which relationship is always true for the angles x, y, and z of triangle ABC?

Answer 1

Answer:

y + z = x

Step-by-step explanation:

Let's rename angle BAC to w. Now, we have four angles: w, x, y, and z. We know that w + y + z has to equal 180 degrees, because a triangle's three angels always adds up to 180 degrees. We also know that w + x equals 180 degrees, because they are on the same line. These two phrases are equal:

w + y + z = w + x

We can then cancel w on each side:

y + z = x

Hope this helps! :)