Question

ΔABC ∼ ΔDEF
. The measure of angle A is 13°
, the measure of angle B is 65°
and the measure of angle C is 102°
. What are the measures of angles D, E, and F?(3 points)
m∠D=

°

m∠E=
°

m∠F=
°

Answer 1

If ΔABC is similar to ΔDEF (ΔABC ∼ ΔDEF), then the corresponding angles are equal. This means:

- m∠A = m∠D
- m∠B = m∠E
- m∠C = m∠F

Given the measures of angles in triangle ABC:

- m∠A = 13°
- m∠B = 65°
- m∠C = 102°

We can find the measures of angles D, E, and F:

- m∠D = m∠A = 13°
- m∠E = m∠B = 65°
- m∠F = m∠C = 102°

Therefore, the measures of angles D, E, and F are:

- m∠D = 13°
- m∠E = 65°
- m∠F = 102°