Question

Given that R is equidistant from U and S, what can you conclude about angles UTR and STR?

Answer 1

Answer:

B. The angles total 180 degrees.

Step-by-step explanation:

Given that R is equidistant from U and S

It means  UR= SR

In angles UTR and STR

TR is common ray for both angle UTR and STR and T is common vertex .

Linear pair angles:Linear pair angles is a pair of adjacent angles and adjacent angles is supplementary.Adjacent angles  means that angles next to each other. Supplementary angles means that measure  of two angles is 180 degrees.

When two angles are in linear pair then one ray is common in both angles and vertex is common in both angles.

We have  one vertex common and one ray  common in angles UTR and STR.

Therefore , Angles UTR and STR form linear pair

Linea pair means

$m\angle UTR+ m\angle STR=180^{\circ}$

Hence, sum of angles UTR and STR  is $180^{\circ}$.

Answer 2

Given that R is equidistant from U and S, the is conclude about angles UTR and STR is The angles are congruent. the answer is C. 

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