Find value of X (Show steps on how to solve)

11°

Step-by-step explanation:

Here in the figure , angle(BAC) = angle(QSR) = 45°

also, angle(ABC) = angle(SQR) = 80°.

In triangle SQR,

angle(QSR) + angle(SQR) + angle(SRQ) = 180°

=> angle(SRQ) = 180 - ( 45 + 80 )

= 180 - 125

= 55°

But angle(SRQ) = 5x ( its given in question )

So,

5x = 55°

=> x = 11°