aliyafamke
aliyafamke aliyafamke
  • 14-06-2021
  • Mathematics
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(Find m∠RTS) m∠RTS=

Find mRTS mRTS class=

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Corsaquix
Corsaquix Corsaquix
  • 14-06-2021

Answer:

[tex]m\angle RTS=34^{\circ}[/tex]

Step-by-step explanation:

From the Isosceles Base Theorem, the two base angles of an Isosceles Triangle are equal. Therefore, [tex]m\angle RTS=m\angle TRS[/tex].

Since the sum of the interior angles of a triangle is 180 degrees, we have:

[tex]m\angle RTS +m\angle TRS+112=180,\\2\cdot m\angle RTS+112=180,\\2\cdot m\angle RTS=68,\\m\angle RTS=\boxed{34^{\circ}}[/tex]

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