From the attached picture we can see
The right triangle NPR
NP and PR are its legs
NR is the hypotenuse
x and y are the measures of the 2 acute angles
To find x, we can use the sine ratio

The opposite side is NP = 60
The hypotenuse is NR = 87
Substitute them in the ratio

Use the inverse of the sine

Round it to the nearest whole number, then

Since x is the measure of angle R, then
x = 44
Since the sum of the measures of the angle of a triangle is 180 degrees, then

Substitute x by 44

Subtract 134 from both sides

The answers are:
x = 44
y = 46