1. A pair of corresponding angles lie on the same side of the transversal. The corresponding pair of angles comprises one exterior angle and another interior angle. Not all corresponding angles are equal. Corresponding angles are equal if the transversal intersects two parallel lines.
2.The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines. Hence, it is proved. Alternate interior angles can be calculated by using properties of the parallel lines. Two consecutive interior angles are (2x + 10) ° and (x + 5) °.
3.The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent .
4.Same side interior angles are congruent when lines are parallel.
5.Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles. The theorem states that same-side exterior angles are supplementary, meaning that they have a sum of 180 degrees.
Answers & Comments
1. A pair of corresponding angles lie on the same side of the transversal. The corresponding pair of angles comprises one exterior angle and another interior angle. Not all corresponding angles are equal. Corresponding angles are equal if the transversal intersects two parallel lines.
2.The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines. Hence, it is proved. Alternate interior angles can be calculated by using properties of the parallel lines. Two consecutive interior angles are (2x + 10) ° and (x + 5) °.
3.The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent .
4.Same side interior angles are congruent when lines are parallel.
5.Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles. The theorem states that same-side exterior angles are supplementary, meaning that they have a sum of 180 degrees.