A carpenter, Mr. Verma, places two parallel wooden battens and nails a third batten across them as a transversal. The angle between the cross batten and the upper batten on one side is 3 times the co-interior angle on the same side (both interior). Find the larger of these two angles (deg).

Question

Accepted Answer

135. Let the smaller co-interior angle be a; the other interior angle on the same side is 3a. They are supplementary: a + 3a = 180, 4a = 180, a = 45. Larger angle = 3 x 45 = 135°.

A carpenter, Mr. Verma, places two parallel wooden battens and nails a third batten across them as a transversal. The angle between the cross batten and the upper batten on one side is 3 times the co-interior angle on the same side (both interior).
Find the larger of these two angles (deg).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Parallel Lines and a Transversal practice

A carpenter, Mr. Verma, places two parallel wooden battens and nails a third batten across them as a transversal. The angle between the cross batten and the upper batten on one side is 3 times the co-interior angle on the same side (both interior).Find the larger of these two angles (deg).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Parallel Lines and a Transversal practice

A carpenter, Mr. Verma, places two parallel wooden battens and nails a third batten across them as a transversal. The angle between the cross batten and the upper batten on one side is 3 times the co-interior angle on the same side (both interior).
Find the larger of these two angles (deg).