Question

line segment gj is a diameter of circle l. angle k measures (4x + 6)°. what is the value of x? 32 44 21 24

Explanation:

Step1: Recall circle - angle property

An angle inscribed in a semi - circle is a right angle. So, $\angle K = 90^{\circ}$.

Step2: Set up the equation

Since $\angle K=(4x + 6)^{\circ}$ and $\angle K = 90^{\circ}$, we have the equation $4x+6 = 90$.

Step3: Solve the equation for x

Subtract 6 from both sides: $4x=90 - 6=84$. Then divide both sides by 4: $x=\frac{84}{4}=21$.

Answer:

C. 21