Question

If TSP and PSW are supplementary, and TSP is two times as large as mPSW, what is mTSP?

Answer 1

`\huge\boxed{120 \textdegree}`

Explanation:

In order to solve for m∠TSP, we can use basic angle relationships and equations.

Let’s assume m∠PSW is
`x`°

We know that if two angles are supplementary, their angle lengths will add to 180°.

We also know that m∠TSP is twice as large as PSW. Since PSW is represented as x°, TSP will be 2x°.

We can add these two angles together and get 180°. Then you can solve for x (PSW)

• 
  `x+2x=180`
• 
  `3x=180`
• 
  `x=60`

So we know that x (PSW) is 60°. However, the question asks for the measure of TSP. We know that TSP is twice as large as PSW, so we can multiply PSW (60) by 2.

`60 \cdot 2 = 120`

So m∠TSP is 120°.

Hope this helped!