Be on schedule. Score better.

EN

Solved! Get answer or ask a different Question 14360

See the picture and explanation below.

When two parallel lines are intersected by the third (transversal), they form eight angles: one of the parallel lines forms four angles ##a##, ##b##, ##c## and ##d##, another forms angles ##a’##, ##b’##, ##c’## and ##d’##.

Two acute angles ##a## and ##a’##, formed by different parallel lines when intersected by a transversal, lying on the same side from a transversal, are called corresponding.
So are other pairs (acute and obtuse) similarly positioned: ##b## and ##b’##, ##c## and ##c’##, ##d## and ##d’##.
One of corresponding angles is always interior (in between parallel lines) and another – exterior (outside of the area in between parallel lines).

Two acute angles ##a## and ##c’##, formed by different parallel lines when intersected by a transversal, lying on the opposite sides from a transversal, are called alternate.
So are other pairs (acute and obtuse) similarly positioned: ##b## and ##d’##, ##c## and ##a’##, ##d## and ##b’##.
The alternate angles are either both interior or both exterior.

The classical theorem of geometry states that corresponding angles are congruent. The same for alternate interior and alternate exterior angles.

Looking for a Similar Assignment? Our ENL Writers can help. Use the coupon code FIRST15 to get your first order at 15% off!
Students Love Us

Hi there! Click one of our representatives below and we will get back to you as soon as possible.

Chat with us on WhatsApp