Question

Two parallel lines are cut by transversal. If one angle of a pair of corresponding angles can be represented by 42° less than three times the other. Find the corresponding angles

Answer 1

We know that the corresponding angles are equal.

Let one of the corresponding angles be x.

Then the other will be 3x – 42°.

∴ 3x − 42° = x°

3x − 42° + 42° = x° + 42°

3x° = x + 42°

3x° − x° = x + 42° − x

2x = 42°

x = `42/2`

x = 21°

∴ The corresponding angles are 21° each