ABC~DEF
m<B = 25', m<D = 45', m<E = 25'
How do find m<A?
To find the measure of angle A (m<A), we can use the fact that the sum of the angle measures in a triangle is always 180 degrees.
Given that ABC~DEF (which means that triangle ABC is similar to triangle DEF), we can conclude that corresponding angles in the two triangles are congruent.
Since angle B in triangle ABC is 25 degrees and angle D in triangle DEF is 45 degrees, we can assume that these angles are corresponding angles.
Therefore, we have:
m<B = m<D = 25'
m<D = 45'
To find m<A, we need to subtract the measures of angles B and D from 180 degrees, since the three angles of triangle ABC sum up to 180 degrees.
m<A = 180 - (m<B + m<D)
Substituting the given angles' measures:
m<A = 180 - (25 + 45)
m<A = 180 - 70
m<A = 110
Therefore, the measure of angle A (m<A) is 110 degrees.