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lesantik [10]
1 year ago
6

What is the measurment of the angle TRS?

Mathematics
1 answer:
Alisiya [41]1 year ago
8 0

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°.

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