Prove that two lines that are respectively perpendicular to two intersecting lines intersect each other.
[Hint: Use proof by contradiction].
Prove that through a given point, we can draw only one perpendicular to a given line.
[Hint: Use proof by contradiction]
A transversal intersects two parallel lines. Prove that the bisectors of any pair of corresponding angles so formed are parallel.
Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.
A triangle ABC is right angled at A. L is a point on BC such that AL ⊥ BC. Prove that ∠ BAL = ∠ ACB.
The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle.
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