Find the values of a and b from the adjoining figure. When `a-b=4^(@)`

Explanation

`angleCOE=angleDOF=90^(@)` (vertically opposite angle )
`angleAOE+angleCOE+angleBOC=180^(@)` (angles on same side of straight line)
`rArra+22^(@)+90^(@)+b+36^(@)=180^(@)`
`rArra+b+148^(@)=180^(@)`
`rArra+b=32^(@)" ".....(1)`
Given, `a-b=4^(@)" ".....(2)`

Adding eqs. (1) and (2) we get, `2a=36^(@)`
`rArra=180^(@)`
From eq. (1), `b=32^(@)-=32^(@)=14^(@)`
Hence, `a=180^(@),b=14^(@)`