47.9k views
0 votes
Angles a and b are complementary angles symmetry of angle a is 28° more than the measure of angle b find the missing angle measures

User Avijit
by
3.6k points

1 Answer

6 votes

Answer:

31 , 59

Explanation:

a = b +28

a + b = 90 {Complementary}

b + 28 + b = 90 {Combine like terms}

2b + 28 = 90 {Subtract 28 form both sides}

2b = 90 - 28

2b = 62 {Divide both sides by 2}

b = 62/2

b = 31

a = 31 + 28

a = 59

User Corey Coogan
by
3.7k points