Question

HELP PLEASE! Are the two triangles similar? How do you know?

Answer 1

No, they are both measuring a different degree range, I hope this helps

Answer 2

The two triangles are similar by AAA

Explanation:

we know that

If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

Remember that

The sum of the internal angles of a triangle must be equal to
`180\°`

so

In the triangle CDE

Find the measure of angle E

`m<C+m<D+m<E=180\°`

substitute the values and solve for m<E

`60\°+53\°+m<E=180\°`

`m<E=180\°-(60\°+53\°)=67\°`

The measures of internal angles triangle CDE are
`60\°-53\°-67\°`

In the triangle FGH

Find the measure of angle G

`m<F+m<G+m<H=180\°`

substitute the values and solve for m<G

`60\°+m<G+67\°=180\°`

`m<G=180\°-(60\°+67\°)=53\°`

The measures of internal angles triangle FGH are
`60\°-53\°-67\°`

therefore

The two triangles are similar by AAA