Answer:
measure of angle R is 75.897° or 75.90°.
Explanation:
To solve use the formula Sin A/ a= Sin B/ b. our angle A is 52°, opposite it is side a so 26. Let angle R be our B so opposite it is b which measure 32.
sin 52°/26 = Sin B/32, cross multiply
32 (sin 52°) = 26 Sin B, multiply both side by 1/26
32 (sin 52°)/26 = Sin B
32 (0.78880107536...)/26 = Sin B
0.969593891... = Sin B
Sin^-1 (0.969593891..) = B
B = 75.89703075 or Angle R is 75.90°