In the given figure, lines l and m are parallel to each other. Transversals AI and BK are also parallel to each other. If m ∠HJI = 50° and m ∠JHI = 45°, then find m ∠CBD.
Explanation:
In ∆HJI, m ∠HJI = 50° and m ∠JHI = 45°
Also, m ∠HJI + m ∠JHI + m ∠JIH = 180°
⇒ m ∠JIH = 85° i.e. m ∠JKD = 85° (∠JIH and ∠JKD are corresponding angles)
Now, if we consider lines l and m, BK is the common transversal
∴ ∠JKD = ∠CBD = 85° (alternate interior angles)
Hence, option (c).
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