Answer:
(a) 4
Explanation:
You want to know the value of x in the inscribed angle BRD = 18x+5 that subtends arcs BC and CD of measures 70° and 84°, respectively.
Inscribed angle
The measure of an inscribed angle is half the measure of the arc it subtends. Here, angle BRD subtends arc BCD, which has a total measure of 70° +84° = 154°. Writing the relation between the measures, we have ...
18x +5 = 1/2(154)
18x +5 = 77 . . . . simplify
18x = 72 . . . . . . . subtract 5
x = 4 . . . . . . . . . . . divide by 4
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