Question

What is m∠S?

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Answer 1

it's 45 degree use sum of andles in a triangle formula and it's 8x=180 i.e 22.5 and for s=2*22.5

Answer 2

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°

`x^(\circ) = (180^(\circ))/(8)`

x° = 22.5°

Put the value

∠S = 2 × 22.5°

= 45°

Hence the m∠S is 45° .