We observe that we are in the presence of a rectangular triangle.
Therefore, we have:
An angle of 90 degrees.
An angle that is given by:
sine (x) = (15 / (15 * root (2)))
sine (x) = (1 / root (2))
x = asine (1 / root (2))
x = 45 degrees
And an angle that is given by:
180-90-45 = 45 degrees
Answer:
The angle measures of the triangle are:
90-45-45 degrees