∠A=6x+5 ∠B=4x+45
find ∠A

Answer for Congruency:

Angle A = 125

Step-by-step explanation:

If angle A is comgruent to angle B then you can Substitute angle A for 4x+45 :

6x+5 = 4x+45

Put the x's on the left whole numbers on the right :

6x-4x = 45-5

Combine like terms :

2x = 40

Divide 40 by 2 :

x = 20

Input 20 for x in angle A's equation :

6(20)+5

Combine like terms :

Angle A = 125

Answer for Supplementary:

Angle A = 78

Step-by-step explenation:

Else if they are supplementary angles then add angles together equal to 180 :

6x+5+4x+45 = 180

Combine like terms :

10x+50 = 180

Subtract 50 from 180 :

10x = 130

Divide 10 from 180 :

x = 13

Input 13 for x in angle A's equation :

6(13)+5

Combine like terms :

Angle A = 78

Answer for Complementary:

Angle A = 29

Step-by-step explenation:

Else they are complementary angles then add angles together equal to 90 :

6x+5+4x+45 = 90

Combine like terms :

10x+50 = 90

Subtract 50 from 90 :

10x = 40

Divide 10 from 40 :

x = 4

Input 4 for x in angle A's equation :

6(4)+5

Combine like terms :

Angle A = 29

Reality:

Not enough information is given to find angle A unless congruent or both angles equal something.  In this case I suggested the three main ways they are equivalint in some way.