Question 157991
Let x=angle 1, and y=angle 2



Since the "angles are congruent", this means that {{{y=x}}}. Also since the angles are complementary, this means that {{{x+y=90}}}



{{{x+y=90}}} Start with the given equation



{{{x+x=90}}} Plug in {{{y=x}}}



{{{2x=90}}} Combine like terms



{{{x=45}}} Divide both sides by 2



So the measure of the two angles is 45 degrees.