Question

unit 4 test
solve for x.
(8x - 4)°
(17x - 23)°
(3x + 17)°

Explanation:

Step1: Apply exterior - angle theorem

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $(17x - 23)=(8x - 4)+(3x + 17)$.

Step2: Simplify the right - hand side

Combine like terms on the right - hand side: $(8x - 4)+(3x + 17)=8x+3x-4 + 17=11x + 13$. So the equation becomes $17x-23 = 11x+13$.

Step3: Isolate the variable terms

Subtract $11x$ from both sides: $17x-11x-23=11x-11x + 13$, which simplifies to $6x-23 = 13$.

Step4: Isolate the variable

Add 23 to both sides: $6x-23 + 23=13 + 23$, getting $6x=36$.

Step5: Solve for x

Divide both sides by 6: $\frac{6x}{6}=\frac{36}{6}$, so $x = 6$.

Answer:

$x = 6$