Question

What value of Y and Z will make DEF correspond to JKI?

Answer 1

`\bold{Solution:}`

`\Delta`
`DE`
`F` congruent to
`\Delta`
`JKI`

`\bold{FD=JI} \text{(corresponding angles of congruent triangles)}`

`z + 22 = 3z`

`\text{or,} \ z-3 z= -22`

`\text{or,} \ -2z = -22`

`\text{or,} \ z = \bold{11}`

`\bold{EF=KI} \text{(corresponding angles of congruent triangles)}`

`5y+13=6y`

`\bold{y=13}`