Please who steps. on how to solve. ​

51°

Step-by-step explanation:

An inscribed angle is half of the arc it intercepts. This means that arc QR is twice m<QTR or 78°.

Since <QSR is a central angle, it equals the arc it intercepts. This means m<QSR equals arc QR which is 78°.

We can say that QS equals to RS because they are both radii, and radii of the same circle are equal. This means triangle QSR is isosceles.

Let <QRS equal x. Because of base angle theorem, <SQR would also be equal to x. Since the angles in a triangle add up to 180, we can write an equation to model the situation:

m<QRS + m<SQR + m<QSR = 180

We can substitute the values we have:

x + x + 78 = 180

2x = 102

x = 51

Since <QRS is equal to x, it is 51°

80 the answer is 80

step-by-step explanation: