Answer:
Option A is correct because sum of m<2 and m<3 are complementary. So m<2+m<3 =90° .
Step-by-step explanation:
Given: <2 and <3 are complementary angles.
Definition of complementary angles says if two angles sum is equal to 90 degrees then they are called complementary angles.
Statement Reason
1.<2 and <3 are complementary 1. Given
2. m<2+m<3 =90° 2. Definition of complementary <s
3. m<1= m<3 3. Given
4. m<1+m<2= 90° 4.Substitution property of =
5. <1 and <2 are complementary 5. Definition of complementary <s.
Option A matches with the given. We can not use addition properties of equality for statement 2 so, other options are incorrect.
So, according to the given options A is correct.
You can learn more about complementary angles at brainly.com/question/21400774