given triangle ABC ~ triangle DEF , m angle A=52 degrees , and m angle E=11 degrees what is the measure of angle C
m angle C=???
To find the measure of angle C, we can use the properties of similar triangles. Since triangle ABC is similar to triangle DEF, we can set up the proportion:
AB/DE = BC/EF = AC/DF
From this, we can conclude that angle C is equal to angle F. Since angle D = 180 - (angle A + angle E), we can find the measure of angle F:
angle F = 180 - (angle E + angle D)
angle F = 180 - (11 + (180 - (52)))
angle F = 180 - 11 - 180 + 52
angle F = 52 - 11
angle F = 41 degrees
Therefore, the measure of angle C is also 41 degrees.