Question

HELPS HELLLLP !!!!!!!!!

2. Find the value of x X
B
2xº
A( 6x+6)

С

Answer 1

The value of x = 12

Angle 1 = 78°

Angle 2 = 78°

Angle 3 = 24°

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

`(6x+6)^(\circ)+(6x+6)^(\circ)+2x^(\circ)=180^(\circ)`

Solving this equation we can find value of x

`(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=(168)/(14)\\x=12`

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°