Question

Lines and Angles

Explain Lines Parallel to the Same Line ?

Explain Angle Sum Property of a Triangle ?

Class 9

Explain Clearly ​

Answer 1

Step-by-step explanation:

Explain Lines Parallel to the Same Line ?

Ans. Any number of parallel lines can be drawn in reference to a given line.

See attached figure 2.

Let say KL is a reference line and all others are lines parallel to it.

Explain Angle Sum Property of a Triangle ?

Ans: To prove the angle sum property of triangle,

• Draw two parallel lines.See fig1
• Draw to lines which intersects these two parallel lines in order to foam a triangle.
• Using properties of || lines and transversal.
• We know that angle 1 and angle 2 are alternative interior angles,thus $\angle 1=\angle 2$. Here just see two parallel lines and transversal passing through CB.
• By the same way $\angle 3=\angle 4$. Here just see two parallel lines and transversal passing through DB.
• We know that all the angles made on a line adds to 180°. So, $\angle 1+\angle5+\angle 3=180°$.
• From above two points, we can write $\angle 2+\angle5+\angle 4=180°$.
• $\angle 2,\angle5\:and\:\angle 4$are the interior angles of triangle BCD.

Thus, one can prove that sum of internal angles of triangle is 180°,using parallel lines and transversal.

Hope it helps you.

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