Question

8 numeric 1 point if arc jk = (7x - 39)° and arc ml = 87°, find x. answer

Explanation:

Step1: Use the property of arcs

In a circle, if two chords are congruent, then their corresponding arcs are congruent. Here, since the chords \(JK\) and \(ML\) are congruent (marked with the same tick - marks), then arc \(JK=\) arc \(ML\).
So, \(7x - 39=87\).

Step2: Solve the equation for \(x\)

Add \(39\) to both sides of the equation:
\(7x-39 + 39=87 + 39\)
\(7x=126\)
Divide both sides by \(7\):
\(x=\frac{126}{7}\)

Answer:

\(18\)