Question

Lines and angles

Sub - questions

Explain " Intersecting Lines and Non-intersecting Lines " ?

Explain " Pairs of Angles " ?

Explain " Parallel Lines and a Transversal " ?

Class 9
Mathematics​

Answer 1

Step-by-step explanation:

Explain " Intersecting Lines and Non-intersecting Lines " ?

Interesting Lines:

The lines which are intersecting (meet) at a single point are known as intersecting lines.

Non-intersecting lines:

The lines which are not intersecting (meet) each other are known as non-intersecting lines.

Explain " Pairs of Angles " ?

Pairs of Angles:

1. If two lines are intersecting each other at a single point,then 2-pair of equal angles are formed,known as Vertical opposite angles.
2. If two parallel lines are intersecting by a line ( known as transversal) four pairs of angles are formed.

• Corresponding angles: 4 pairs
• Alternate interior angles: 2 pairs
• Consecutive interior angles: 2 pairs
• Vertically opposite angles: 4 pairs

Explain " Parallel Lines and a Transversal " ?

Parallel Lines and a Transversal:

If two parallel lines are intersecting by a line ( known as transversal) then, four pairs of angles are formed.

Corresponding angles: 4 pairs

• Equal corresponding pairs of angles.
• $\angle 1=\angle 5$
• $\angle 2=\angle 6$
• $\angle 3=\angle 7$
• $\angle 4=\angle 8$

Alternate interior angles: 2 pairs

• Equal Alternate interior pairs of angles.
• $\angle 3=\angle 6$
• $\angle 4=\angle 5$

Consecutive interior angles: 2 pairs

• Sum of two consecutive interior angles is 180°.
• $\angle 3+\angle 5=180°$
• $\angle 4+\angle 6=180°$

Vertically opposite angles: 4 pairs

• Equal vertically opposite pairs of angles.
• $\angle 1=\angle 4$
• $\angle 2=\angle 3$
• $\angle 5=\angle 8$
• $\angle 7 =\angle 6$

Hope it helps you.

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