Practicing Success
PQ and RS are two chords in a circle with centre O and PS is a diameter. PQ and RS produced to meet at a point T outside the circle. If ∠PTR = 25° and ∠SPT = 39°, then the measure of ∠SQR is? |
24° 26° 30° 45° |
26° |
∠SQP = 90° (angle made by diameter is always 90°) angel made by chord on circumference are same so ∠P = ∠R = 39° ∠PSR = ∠SPT + ∠STP (exterior angle) = 39° + 25° = 64° ∠PSQ = 90° - 39° = 51° In ΔQRS ∠QSR + ∠SRQ + ∠RQS = 180° ∠RQS + 39° + 64° + 51° = 180° ∠RQS = 26° = ∠SQR |