Answer:
m∠RSU = 57°
Explanation:
In the diagram, m∠RSU and m∠TUS arein a Z-Shape. Therefore they are alternate angles. We know that alternate angles are equal.
Therefore:
m∠RSU = m∠TUS
To solve for m∠RSU, we determine first the value of x.
x+41=3x+9
3x-x=41-9
2x=32
x=16
Recall that:
m∠RSU = x + 41
=16+41=57°.
Therefore m∠RSU is 57°