what is the value of x? x = °
what is the value of x? x = °
Answer
Explanation:
Step1: Recall inscribed - angle property
In a circle, angles inscribed in the same arc are equal. Angles $\angle{G}$ and $\angle{I}$ are inscribed angles that intercept the same arc $\overset{\frown}{FH}$. So, $\angle{G}=\angle{I}$.
Step2: Set up the equation
We know that $\angle{G} = 38^{\circ}$ and $\angle{I}=x - 59^{\circ}$. So, we set up the equation $38=x - 59$.
Step3: Solve for x
Add 59 to both sides of the equation: $x=38 + 59$. $x = 97$
Answer:
$97$