what is the value of x? x = ° submit
what is the value of x? x = ° submit
Answer
Explanation:
Step1: Use inscribed - angle theorem
In a circle, angles inscribed in the same arc are equal. Angles $\angle R$ and $\angle T$ are inscribed in the same arc $\overset{\frown}{QS}$, so $\angle R=\angle T$. We know that $\angle R = 53^{\circ}$ and $\angle T=3x + 41^{\circ}$. So we set up the equation $3x+41^{\circ}=53^{\circ}$.
Step2: Solve the equation for x
Subtract $41^{\circ}$ from both sides of the equation: $3x=53^{\circ}- 41^{\circ}$ $3x = 12^{\circ}$ Then divide both sides by 3: $x=\frac{12^{\circ}}{3}$
Answer:
$4$