If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. When a transversal intersects two parallel lines, the corresponding angles so formed will be equal Corresponding angles are the angles that are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). If a line or a transversal crosses any two given parallel lines, then the corresponding angles formed have equal measure. In the given figure, you can see, the two parallel lines are intersected by a transversal, which forms eight angles with the transversal. So, the angles formed by the first line with transversal have equal corresponding angles formed by the second line with the transversal. Corresponding Angles Formed by Parallel Lines and Transversals All corresponding angle pairs in the figure:
Check out the video given below to know more about tupes of angles 
In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m .
When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles . In the figure the pairs of corresponding angles are: ∠ 1 and ∠ 5 ∠ 2 and ∠ 6 ∠ 3 and ∠ 7 ∠ 4 and ∠ 8 When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . In the above figure, the consecutive interior angles are: ∠ 3 and ∠ 6 ∠ 4 and ∠ 5 If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles . In the above figure, the alternate interior angles are: ∠ 3 and ∠ 5 ∠ 4 and ∠ 6 If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles . In the above figure, the alternate exterior angles are: ∠ 2 and ∠ 8 ∠ 1 and ∠ 7 If two parallel lines are cut by a transversal, then the alternate exterior angles formed are congruent .
Example 1:
In the above diagram, the lines j and k are cut by the transversal l . The angles ∠ c and ∠ e are… A. Corresponding Angles B. Consecutive Interior Angles C. Alternate Interior Angles D. Alternate Exterior Angles The angles ∠ c and ∠ e lie on either side of the transversal l and inside the two lines j and k . Therefore, they are alternate interior angles. The correct choice is C .
Example 2:
In the above figure if lines A B ↔ and C D ↔ are parallel and m ∠ A X F = 140 ° then what is the measure of ∠ C Y E ? The angles ∠ A X F and ∠ C Y E lie on one side of the transversal E F ↔ and inside the two lines A B ↔ and C D ↔ . So, they are consecutive interior angles. Since the lines A B ↔ and C D ↔ are parallel, by the consecutive interior angles theorem , ∠ A X F and ∠ C Y E are supplementary. That is, m ∠ A X F + m ∠ C Y E = 180 ° . But, m ∠ A X F = 140 ° . Substitute and solve. 140 ° + m ∠ C Y E = 180 ° 140 ° + m ∠ C Y E − 140 ° = 180 ° − 140 ° m ∠ C Y E = 40 ° |
When two parallel lines are intersected by a transversal the pairs of corresponding angles are formed tick correct one A 4 B 2 C 8 D 1?
Postagens relacionadas
direito autoral © 2024 comojogaruno Inc.
