Find the measure of angle A

55 degrees

Step-by-step explanation:

To find the measure of angle A, you first have to find x. To do that you use this equation: 80+(3+6x)+(7x+6)=180. You then simplify that equation.

80+(3+6x)+(7x+6)=180

80+3+6x+7x+6=180

89+13x=180

13x=180-89

13x=91

x=91/13

x=7

Then you plug x into the expression for angle A.

7x+6

7*(7)+6

49+6

55

Angle A=55 degrees

68

Step-by-step explanation:

let unknown number be x

⅕x + 5½= 30⅖ - ⅙x

⅕x + 11/2= 152/5 - ⅙x

collect like terms

⅕x+⅙x= 152/5 - 11/2

cross multiply

30 * 249=(11 * 10)x

7470=110x

x=7470/110

x= 68