Question

find the value of x.
a
b
(2x)°
d
(4x - 6)°
c
x =

Explanation:

Step1: Set up equation

Since $\angle ADB$ and $\angle BDC$ are supplementary (form a straight - line), their sum is $180^{\circ}$. So, $2x+(4x - 6)=180$.

Step2: Simplify left - hand side

Combine like terms: $2x+4x-6 = 6x-6$. The equation becomes $6x - 6=180$.

Step3: Add 6 to both sides

$6x-6 + 6=180 + 6$, which simplifies to $6x=186$.

Step4: Solve for x

Divide both sides by 6: $x=\frac{186}{6}=31$.

Answer:

$31$