Answer:
∠S=45°
Step-by-step explanation:
From the given figure, ∠R=3x°, ∠S=2x° and ∠T=3x°
Now, using the angle sum property of triangles in ΔRST, we have
[tex]{\angle}R+{\angle}S+{\angle}T=180^{\circ}[/tex]
⇒[tex]3x+2x+3x=180[/tex]
⇒[tex]8x=180[/tex]
⇒[tex]x=22.5^{\circ}[/tex]
Therefore, the measure of ∠S is:
⇒[tex]{\angle}S=2x=2(22.5)[/tex]
⇒[tex]{\angle}S=45^{\circ}[/tex]
Hence, the value of the measure of ∠S is 45°.
