Answer:
10° = x; Angle C = 58°; Angle D = 61°; Angle B = 119°
Step-by-step explanation:
Because of the exterior angle theorem, (1+6x)° + 58° = (11x+9)°
Subtract (6x+1)° from both sides and you get: 58° = 5x+8
Subtract 8 from both sides:
50° = 5x –– Divide both sides by 5 to get x alone
10° = x
Angle C is already listed as 58°
Angle D:
1 + 6(10)
1+60
61°
*Note: I'm assuming Angle B is the angle with the x and not the remaining interior angle*
Angle B:
11(10)+9
110+9
119°
(But just in case)
Remaining Interior Angle = 61°
