In the figure, t intersects two parallel lines p and q. Find the angles of `4x-15^(@) and 3x-15^(@)`.

Answer

`75^(@)`

Explanation

Given p, q and parallel lines and t is a transversal.
Given angles are co-interior angles.
`rArr=4x-15^(@)+3x-15^(@)=180^(@)`
`rArr7x-30^(@)=180^(@)`
`rArr7x=210^(@)`
`x=30^(@)`
`therefore4x-15^(@)=4xx30^(@)-15^(@)`
`=120^(@)-15^(@)`
`=105^(@)`
`3x-15^(@)=3x-15^(@)`
`=3xx30^(@)-15`
`=90-15^(@)`
`=75^(@)`