Question

What are the missing measures for E and J???

Are the triangles similar? Yes or no?

Answer 1

No

Explanation:

To tell whether two triangles are similar or not, we can compare their side lengths or angle measures

in this case, only angle measure are given so will compare those:

m<F = m<I but this is not enough, we need to compare other angles as well

m<H is not equal to m<G

The sum of interior angles in a triangle is equal to 180

so the measure of angle J

100+55+J = 180

J = 25

The measure of angle E

100+35+E = 180

E = 45

Now, neither of these angles are equal to each other so we can conclude that these triangles are not similar.