Given △ABC∼△DEF , m∠A=52° , and m∠E=11° , what is the measure of angle C ?(1 point)
m∠C = °
To find the measure of angle C, we can use the fact that corresponding angles of similar triangles are congruent.
So, since △ABC∼△DEF, angle C corresponds with angle F. Therefore, m∠C = m∠F.
We are given that m∠E = 11° and that △ABC∼△DEF. Since angle A corresponds with angle D, we know that m∠D = 52°.
Since the sum of angles in a triangle is 180°, we can find the measure of angle F:
m∠F = 180° - m∠D - m∠E
m∠F = 180° - 52° - 11°
m∠F = 117°
Therefore, m∠C = m∠F = 117°.
So, the measure of angle C is 117°.