Question

look at the diagram. which equation can be used to solve for x? 2(x - 14)=90 2(x - 14)=180 2x - 14 = 90 2x - 14 = 180 solve for x. x =

Explanation:

Step1: Identify angle - sum relationship

The two angles $(x - 14)^{\circ}$ together form a right - angle which is 90 degrees. So the equation is $2(x - 14)=90$.

Step2: Solve the equation for x

First, divide both sides of the equation $2(x - 14)=90$ by 2:
$x-14=\frac{90}{2}=45$.
Then, add 14 to both sides of the equation:
$x=45 + 14=59$.

Answer:

The equation is $2(x - 14)=90$ and $x = 59$