Question

What is m∠S? Enter your answer in the box.

Answer 1

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°

$x^{\circ} = \frac{180^{\circ}}{8}$

x° = 22.5°

Put  the value

∠S = 2 × 22.5°

     = 45°

Hence the  m∠S is 45° .

Answer 2

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