The sides ST and TR and the median SU of the ΔSTR are equal to the sides MN and NJ and the median MV of the ΔMNJ, respectively. If ∠TSU = 46°, ∠NMJ = 79° and ∠MVN = 88°, what is the degree measure of ∠SRT?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 35°.
Side-Side-Side (SSS) Congruence: If three sides of one triangle are equal to the corresponding three sides of another triangle, then the triangles are congruent.
∠USR = 79° - 46° = 33°
∠SUR = 180° - 88° = 92°
∠SRT = ∠SRU = 180° - (92° + 33°)
∠SRT = 55
According to question
∠SRT = × 55° = 35°