Question

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

Answer 1

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

Answer 2

∠S=45°

Explanation:

From the given figure, ∠R=3x°, ∠S=2x° and ∠T=3x°

Now, using the angle sum property of triangles in ΔRST, we have

`{\angle}R+{\angle}S+{\angle}T=180^(\circ)`

⇒
`3x+2x+3x=180`

⇒
`8x=180`

⇒
`x=22.5^(\circ)`

Therefore, the measure of ∠S is:

⇒
`{\angle}S=2x=2(22.5)`

⇒
`{\angle}S=45^(\circ)`

Hence, the value of the measure of ∠S is 45°.