Question

Use the information below to find the measure of angle a such that triangle abc is similar to triangle def measure of angle b=25 measure of angle d=45 measure fo angle e = 25 measure of angle a=?

Answer 1

triangle abc is similar to triangle def

m<b = m<e = 25
so
m<d = m<a = 45

answer:

measure of angle a= 45 degrees

Answer 2

m∠a=
`45\°`

Explanation:

we know that

If two triangles are similar

then

The ratio of their corresponding sides are equal and the corresponding angles are equal

so

In this problem

m∠a=m∠d=
`45\°`

m∠b=m∠e=
`25\°`

m∠c=m∠f=
`180\°-70\°=110\°` ----> sum of internal angles of triangle must be equal to
`180\°`