Question

The measures of one of the acute angles in a right triangle is given. Find the measure of the other acute angle.
given :(90-z)

Answer 1

a+b+c=180
we know that one of the angles is 90, let's say x
let's call y the given angle
90+(90-z)+c=180
180-z+c=180


that means that the 3rd angles has to be z
c=z

Answer 2

The acute angles of a right triangle are complementary. If one is 90 - z, then the other has to be z. 90 - z + z = 90.

Answer 3

thanks @Directrix

Answer 4

You are welcome.