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Answer:
AB=Ac
BAC = 72
angle made by two equal sides are equal
ABC=ACB
let ABC=ACB
in triangle ABC
BAC + ABC + ACB= 108
by using triangle angle sum property
suitable the value then we get
X + 72 + x= 108
2x=108-72 =108
X= 108÷2 =54
ABC +ACB =54
Central angle is twice the inscribed angle
AOB = 2 × ACB =2×54=108
AOB = 108
we know that radius is perpendicular to tangent
OA is perpendicular to P A and o b is perpendicular to PB.
OAP = OBA = 90
in quadrilateral OAPB
OAP + OBP+ APB + AOB = 360
substitute the value then we get
90 + 90 + 108 + APB = 360
APB = 360 -288=72
APB = 72
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