Question

Are EFG and HIJ similar

Answer 1

Yes, AAA criteria. The corresponding angles are congruent

Answer 2

Answer:

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.

Step-by-step 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.