Given △ABC∼△DEF , m∠A=52° , and m∠E=11° , what is the measure of angle C
Since △ABC∼△DEF, we can write the ratios of the corresponding sides as:
AB/DE = BC/EF = AC/DF
We can also write the ratios of the corresponding angles as:
∠A/∠E = ∠B/∠F = ∠C/∠D
Given that m∠A = 52° and m∠E = 11°, we can substitute these values into the corresponding angle ratios, to get:
52/11 = ∠C/∠D
Now, we can solve for the measure of angle C by cross multiplying:
∠C = (52/11) × ∠D
Since the measure of angle C is not given, we cannot determine its exact value without the measure of angle D.