Wo angles are complementary the second angle measures 32 degrees less than the first angle What is the measure of the first angle?

Answer 1

29 degrees

Let x represent the number of degrees of the smaller angle and y the number of degrees of the larger angle.

Because the angles are complementary, x+y=90.

From the problem, x=y-32.

Now solve the equations by substituting x from the second into the first:

y-32+y=90

2y-32=90

2y=90+32=122

y=122/2=61

x=y-32=61-32=29