Question

In $\Delta STU,m\angle T={70}^o,ST=4$, and $TU=5$. Which of the following conclusions may be drawn?

• A. $m\angle U={55}^o$
• B. $m\angle s>{55}^o$
• C. $SU=6$
• D. $m\angle U>{55}^o$
• E. $m\angle S:m\angle U=5:4$

Answer 1

Answer: (B)

$m\angle s>{55}^o$

Given that angle $T=70$
Therefore in triangle $STU$, we have $S+U=180-T=110$
Given, $ST=4$ and $TU=5$, observe that $TU>ST$ $\Rightarrow \angle$ $S>U$
We have $S+U=110$ and $S>U$ $\Rightarrow S>55$degrees