Question

NO LINKS!! URGENT HELP PLEASE!!!

What is Arc BD?

Answer 1

x = 7

Inscribed angle: (7x + 13)° = 62°

Explanation:

The given diagram shows two chords of a circle where the inscribed angle measures (7x + 13)° and the intercepted arc measures 124°.

According to the Inscribed Angle Theorem, the measure of an inscribed angle is half the measure of the intercepted arc. Therefore:

`\begin{aligned}(7x + 13)^(\circ)&=(1)/(2) \cdot 124^(\circ)\\\\ (7x + 13)^(\circ)&=62^(\circ)\\\\7x+13&=62\\\\7x+13-13&=62-13\\\\7x&=49\\\\(7x)/(7)&=(49)/(7)\\\\x&=7\end{aligned}`

Therefore, the value of x is 7, and the measure of the inscribed angle is 62°.

Answer 2

x=7

Explanation:

Central Angle: 124°

Inscribed angle: (7x+13)°

Since, the measure of the central angle that subtends the same arc of any inscribed angle is twice the measure of any inscribed angle that subtends the same arc.

By this :

½*Central Angle = insribed angle.

substituting value

½*124°=(7x+13)°

62°=(7x+13)°

7x=62°-13°

7x=49°

x=49/7

x=7

Now

Inscribed angle=(7*7+13)°=62°