In the given figure, the lines L1 and L2 are parallel to each other and the line segments PQ and PR are perpendicular to each other. Moreover, m ∠PQR = 55° and lines ST, PQ, and PR intersect at point P. Find m ∠TPR.
Explanation:
L1 and L2 are parallel to each other.
Line PQ is the transversal.
∴ m ∠PQR + m ∠TPQ = 180° ...(∵ ∠PQR and ∠TPQ are interior opposite angles)
⇒ m ∠TPQ = 180° - 55° = 125°
Given, m ∠QPR = 90°
∴ m ∠TPQ = 125° = m ∠QPR + m ∠TPR
⇒ m ∠TPR = 125° - 90° = 35°
Hence, option (c).
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