Two parallel lines are cut by a transversal. At one intersection, a corresponding angle and the co-interior angle next to it form a linear pair. The corresponding angle is 40° more than that co-interior angle. Find the corresponding angle.

Question

Accepted Answer

110. A corresponding angle and the co-interior angle beside it at the same intersection form a linear pair (sum 180). Let co-interior = a, corresponding = a + 40. Then a + (a + 40) = 180, 2a = 140, a = 70, so corresponding = 110°.

Two parallel lines are cut by a transversal. At one intersection, a corresponding angle and the co-interior angle next to it form a linear pair. The corresponding angle is 40° more than that co-interior angle.
Find the corresponding angle.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Transversal and Parallel Lines practice

Two parallel lines are cut by a transversal. At one intersection, a corresponding angle and the co-interior angle next to it form a linear pair. The corresponding angle is 40° more than that co-interior angle.Find the corresponding angle.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Transversal and Parallel Lines practice

Two parallel lines are cut by a transversal. At one intersection, a corresponding angle and the co-interior angle next to it form a linear pair. The corresponding angle is 40° more than that co-interior angle.
Find the corresponding angle.