Question

what is the measurment of the angle TRS?

Answer 1

From the figure we notice that the triangle is an isosceles one. This means that the angles RTS and RST are the same. Hence:

$m\angle RTS=m\angle RST=71$

To find the remaining angle we need to use the fact that the sum of the interior angles of any triangle is 180, then:

$m\angle TRS+m\angle RTS+m\angle RST=180$

Plugging the values we know and solving for TRS we have:

$\begin{gathered} m\angle TRS+71+71=180 \\ m\angle TRS=180-71-71 \\ m\angle TRS=38 \end{gathered}$

Therefore, the angle TRS is 38°.