Question

(Find m∠RTS) m∠RTS=

Answer 1

Answer:

$m\angle RTS=34^{\circ}$

Step-by-step explanation:

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

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

$m\angle RTS +m\angle TRS+112=180,\\2\cdot m\angle RTS+112=180,\\2\cdot m\angle RTS=68,\\m\angle RTS=\boxed{34^{\circ}}$