Question

find angle oab if angle APB is 50 degree​

Answer 1

Answer:

angle OAP = 90°{ radius and tanget form 90° at the point of contact }

angle PAB = 65° {given }

angleOAB = angle OAP - angle PAB

= 90 - 65

= 25°

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Answer 2

$\huge{\bold{ Solution}} \\ \\ since, \: AP = PB \: \\ therefore, \: \angle \: PAB \: = \angle \: PBA \\ \\ here \: \\ \angle \: PAB + \angle \: PBA \: \angle \: APB = 180 \\ \angle \: PAB \: + \angle \: PAB + \angle \: APB = 180 \\ 2 \angle \: PAB + 50 \degree = 180 \degree \\ 2 \angle \: PAB \: = 180 \degree - 50 \degree \\ 2\angle \: PAB \: = 130 \\ \angle \: PAB \: = \frac{130}{2} \\ \\ \angle \: PAB \: = 65 \degree \\ \\ since \: it \: is \: given \: \\ \angle \: PAO = 90 \degree \\ \angle \: PAB \: + \angle \: OAP \: = 90 \degree \\ 65 \degree + \angle \: OAP = 90 \degree \\ \angle \:OAP = 90 - 65 \\ \angle \: OAP \: = 25 \\ \\ so \: \huge{\bold{ \angle \: OAP = 25}}$