Question

Angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°

Answer 1

see the attached figure to better understand the problem

we know that

1) If angle 1 and angle 2 are complementary angles

then

m∠1+m∠2=$90\°$ ------> equation A

2) If angle 1 and angle 2 are congruent angles

then

m∠1=m∠2 ------> equation B

Substitute equation B in equation A

m∠1+(m∠1)=$90\°$

2m∠1=$90\°$

m∠1=$45\°$

therefore

the answer is

$45\°$

Answer 2

It has to equal 90 so the answer is 45 degrees.