Question

6th grade maths easy help!

Answer 1

Answer: 112 degrees

Explanation:

The angles have the same measure because of the corresponding angles theorem.

Answer 2

`\huge\boxed{112^\circ}`

To solve this problem, we need to understand the basic rules of transversals across parallel lines.

When a line crosses another line or lines, it is a transversal.

When the two lines it crosses are parallel, the eight angles formed have interesting properties that we can use.

For this question, we will look at corresponding angles. If two angles meet these two conditions, they are congruent:

1. Both angles are on the same side of the transversal.
2. One angle is interior (between the parallel lines) and the other is exterior.

These two conditions are met for
`\angle JIK` and
`\angle GFI`, so they are congruent and their measures are equal.

This means that
`m\angle JIK=m\angle GFI=\boxed{112^\circ}`