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

2 Answers

6 votes
It has to equal 90 so the answer is 45 degrees.
User John McMahon
by
8.2k points
4 votes

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\°

Angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°-example-1
User Chintogtokh
by
7.3k points