Question

In the figure m ab= 53 and m cd =25 what is the value of x? a. 26.5 b.39 c.65.5 d.78

Answer 1

Answer:

(B) 39

Step-by-step explanation:

From the given figure, it can be seen that the two chords are intersecting each other at O and the measure of arc AB is 53 and the measure of arc CD is 25.

Using the property, angle formed by two chords is equal to half the sum of the intercepted arcs, we have

$x=\frac{arc(AB)+arc(CD)}{2}$

Substituting the given values, we get

$x=\frac{53+25}{2}$

$x=\frac{78}{2}$

$x=39$

Thus, the value of x is 39 and option (B) is correct.