PRT is a tangent to a circle with centre O, at the point R on it. Diameter SQ of the circle is produced to meet the tangent at P and QR is joined. If ∠QRP = 28, then the measure of ∠SPR is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 34
As, ∠ QRP = 28º, ∠ORQ = 62º = ∠RQO
∠QOR = 180º - (62º + 62º) = 56º
Now, in triangle POR,
∠OPR = 180º - (∠POR + ∠ORP)
= 180º - ( 56º + 62º + 28º)
= 180º - (146º)
= 34º