Question

Anyone know this or how to work this out

Answer 1

Answer:

140 degrees.

Step-by-step 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:

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

Answer 2

The answer is 140 degrees