The adjacent figure `P Q R S` is a trapezium in which `S P || R Q ,` find the measures of `/_P\ a n d\ /_Rdot`

Explanation

`PQRS` is trapezium.
`SP |\| RQ` (given)
We know ,sum of two angles between parallel lines is supplementry.
Therefore `angle QRS+ angle RSP`=`180^@`
`angle QRS`+`90^@`=`180^@`
`angle QRS` =`180^@`-`90^@`=`90^@`
`angle PQR `+`angle QRS`+`angle RSP`+`angle SPQ`=`360^@`
`180^@`+`90^@`+`90^@`+`angle SPQ`=`360^@`
`280^@+angle PSQ`=`360^@`
`angle SPQ`=`360^@-280^@`=`80^@`
Therefore,measure of `angle P` and `angle R` are `80^@` and `90^@`