Question

find the value of x. recall that m∠bcd = 1/2 (mad - mbd). enter the correct value in the box. hide hints

Explanation:

Step1: Identify arc measures

The measure of arc $AD = 120^{\circ}$ and the measure of arc $BD=50^{\circ}$.

Step2: Apply the formula

We know that $m\angle BCD=\frac{1}{2}(m\overparen{AD}-m\overparen{BD})$. Substitute the values of the arc - measures into the formula: $m\angle BCD=\frac{1}{2}(120 - 50)$.

Step3: Calculate the value

First, calculate the value inside the parentheses: $120−50 = 70$. Then, multiply by $\frac{1}{2}$: $\frac{1}{2}\times70 = 35$. So $x = 35$.

Answer:

$35$