Answer:
m∠P: 52 degrees.
m∠Q: 128 degrees.
Explanation:
In a rhombus, opposite angles are equal, and all angles add to be 360 degrees.
This means that m∠P = m∠P, and m∠Q = m∠S. Because that is the case, m∠P + m∠Q = 180 degrees.
(2w - 62) + (w + 71) = 180
2w + w - 62 + 71 = 180
3w + 9 = 180
3w = 171
w = 57
Now that we have the value of w, we can find the m∠P and m∠Q!
m∠P: (2 * 57) - 62 = 114 - 62 = 52 degrees
m∠Q: (57 + 71) = 128 degrees
To make sure we are right...
128 + 52 = 180
Hope this helps!