Question

Anyone know this or how to work this out

Answer 1

the answer is 140 degrees

Answer 2

140 degrees.

Explanation:

All circles are made up of
`360^\circ`. Each of the angles provided are called central angles, which means when we add them all together, we will get a total of
`360^\circ`

Notice the little red box, which indicates a
`90^\circ` angle. From the circle, we know the following angles:

`\angle{RQS}=130^\circ`

`\angle{TQS}=90^\circ`

We can write and solve an equation to solve for the missing angle,
`\angle{RQT}`:

`\angle{RQS}+\angle{TQS}+\angle{RQT}=360^\circ\\130^\circ + 90^\circ+\angle{RQT}=360^\circ`

Combine like terms:

`230^\circ+\angle{RQT}=360`

Subtract
`230^\circ` from both sides:

`\angle{RQT}=140^\circ`.