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3 years ago

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

Mathematics

2 answers:

lesantik [10]3 years ago

8 0

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

<u>the answer is</u>

$45\°$

Soloha48 [4]3 years ago

6 0

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

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