Question

Using the diagram below, determine which statement is NOT true.

Answer 1

C. angles x and z are supplementary

Explanation:

Supplementary angles add up to 180 degrees. Because a line presents a 180 degree angle, and y equals 90 degrees angle x plus angle z would be 180-90 degrees which is 90, not 180 which would make them complementary

Answer 2

C. Angles X and Z are supplementary

Explanation:

A: This is true because in Angle Y, a right angle is shown. A right angle is worth 90°.

B: This is true because X, Y, and Z are supplementary (add to 180), and given that Angle Y is 90 degrees, 180 - 90. Thus, they're complementary.

C: This is false and the correct answer choice because Angle Y exists too. Angle X and Z, added together, would make 90 degrees, not 180.

D: This is true because Angles Y and Z are right next to each other, and that's what adjacent means.

Therefore, the answer is C.

Have a lovely rest of your day/night, and good luck with your assignments! ♡