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The ratio of the same side angles of two parallel lines is 1:14. Find all angles.

User Helpdesk
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Answer:

∠1=∠3=∠5=∠7=168°

∠6=∠4=∠2=∠8=12°

Explanation:

We are given two angles of the same side of parallel lines is 1:14

Please see the attachment to see all angles of parallel lines.

In figure, ∠6 and ∠3 are same side angles.

∠6 : ∠3 = 1 : 14

Therefore, ∠6 = x , ∠3=14x

Sum of angles of same side of parallel lines is 180°

∠6 + ∠3 = 180°

x+14x=180°

x=12

∠6=12°

∠3=168°

∠3=∠1=168° (Vertically Opposite angles)

∠3=∠5=168° (Alternate interior angles)

∠3=∠7=168° (Corresponding angles)

Therefore, ∠1=∠3=∠5=∠7=168°

∠6=∠8=12° (Vertically Opposite angles)

∠6=∠4=12° (Alternate interior angles)

∠6=∠2=12° (Corresponding angles)

Therefore, ∠6=∠4=∠2=∠8=12°




The ratio of the same side angles of two parallel lines is 1:14. Find all angles.-example-1
User Solbs
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