Question

If ABC = DEF m<A=55 degrees, and m<E=25 degrees what is m<C?

Answer 1

Since triangle ABC is congruent to triangle DEF...
- angle A is congruent to angle D
- angle B is congruent to angle E
- angle C is congruent to angle F

Since angle B is congruentto angle E, and since angle E is 25 degrees, we can say that the measure of angle B is also 25 degrees.

The angle measures of a triangle sum to 180 degrees, so we can subtract the two given angle measures from 180.

180-55-25=100

Therefore, the measure of angle C is 100 degrees.