What is m∠S?
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Answer:
Find the value of m∠S .
To prove
As given in the diagram.
∠R + ∠S + ∠T = 180°
(Angle sum property of a triangle.)
∠R = 3x°
∠S = 2x°
∠T = 3x°
Put in the above
3x° + 2x° + 3x° = 180°
8x° = 180°
[tex]x^{\circ} = \frac{180^{\circ}}{8}[/tex]
x° = 22.5°
Put the value
∠S = 2 × 22.5°
= 45°
Hence the m∠S is 45° .