Answer:
The value of x = 12
Angle 1 = 78°
Angle 2 = 78°
Angle 3 = 24°
Step-by-step explanation:
The given triangle is isosceles triangle because AB = BC
We know that sum of angles of triangle = 180°
and Isosceles sides have same angles.
We have Angle 1 = (6x+6)°
Angle 2 = (6x+6)°
Angle 3= (2x)°
We can write
[tex](6x+6)^{\circ}+(6x+6)^{\circ}+2x^{\circ}=180^{\circ}[/tex]
Solving this equation we can find value of x
[tex](6x+6)^{\circ}+(6x+6)^{\circ}+2x^{\circ}=180^{\circ}\\6x+6+6x+6+2x=180\\14x+12=180\\14x=180-12\\14x=168\\x=\frac{168}{14}\\x=12[/tex]
So, the value of x = 12
Now finding angles
Angle 1 = (6x+6)° = 6(12)+6 = 72+6 = 78°
Angle 2 = (6x+6)°= 6(12)+6 = 72+6 = 78°
Angle 3= (2x)°= 2(12) = 24°
