Question

Are EFG and HIJ similar

Answer 1

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Hope it helps, have a fantastic day.

Explanation:

We all know from geometry that all the angles of a triangle add up to 180 degrees.

We can form the following equation:

`100 + 35 + E = 180`

`E` here represents the measure of angle E.

Add together like terms:

`135 +E = 180`

Then subtract 135 from both sides:

`E = 45`

We can, likewise, form another equation for angle J :

`100 + 45 + J = 180`

Add together like terms:

`145 +J = 180`

Then subtract 145 from both sides:

`J = 35`

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Answer 2

Yes, AAA criteria. The corresponding angles are congruent