Measure of intercepted arc [tex]XZ[/tex] is equal to [tex]72[/tex]°.
" Intercepted arc is defined as arc which is inside the inscribed angle and and its end points are on the angle."
Inscribed angle theorem
As per inscribed angle theorem the measure of an inscribed angle formed in the interior of a circle is half the measure of the intercepted arc."
According to the question,
Given,
Measure of inscribed angle [tex]= 36[/tex]°
[tex]'x'[/tex] represents the measure of intercepted arc
Using inscribed angle theorem we have,
Intercepted arc [tex]=2[/tex] ( inscribed angle)
[tex]x\° = 2 \times 36\°[/tex]
[tex]= 72\°[/tex]
Hence, Option(C) is the correct answer.
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