Question

In the following figure , AB||CD . Find `anglePQR` and reflex aangle PQR

Answer 1

Draw a line EF through Q, parallel to AB.
As EF||AB and AB||CD, we get EF||CD
`anglePQF= angle APQ=28^(@)" "` (altenate interior angles)
Again, `angleRQF=angleCRQ=38^(@)" "` (alternate interior angles)

`:. anglePQR=anglePQF+angleRQF`
`=28^(@)+38^(@)=66^(@)`
Reflex angle `anglePQR=360^(@)-anglePQR`
`360^(@)-66^(@)`
`=294^(@)`