Question

justify reasoning three students used the figure to write a statement. they want to know who is correct. samar: ∠wzu is a right - angle. jane: ∠yzu and ∠uzv are supplementary. antonio: ∠vzu is adjacent to ∠yzx. which of these statements are correct? select all correct answers.

Explanation:

Step1: Recall right - angle definition

A right angle measures 90 degrees. From the figure, $\angle WZU$ has a square - corner symbol indicating it is a right angle. So Samar's statement is correct.

Step2: Recall supplementary - angles definition

Supplementary angles add up to 180 degrees. $\angle YZU$ and $\angle UZV$ together form a straight - line at point $Z$. So $\angle YZU+\angle UZV = 180^{\circ}$, and Jane's statement is correct.

Step3: Recall adjacent - angles definition

Adjacent angles share a common vertex and a common side. $\angle VZU$ and $\angle YZX$ do not share a common side. So Antonio's statement is incorrect.

Answer:

Samar is correct.
Jane is correct.