Question

For what angle D is △ABC congruent to △DEF, given AC = 2.5, BC = 5cm, ∠C = 75⁰, DE = 2.5cm and DF = 5cm

Answer 1

To find the angle D for which triangle ABC is congruent to triangle DEF, compare the given sides and angles of the two triangles. AC = 2.5cm and DE = 2.5cm, so these sides are congruent. The angle at C is 75⁰, so angle D is also 75⁰.

Step-by-step explanation:

To determine the angle at D for which △ABC is congruent to △DEF, we need to compare the given sides and angles of the two triangles. Since AC = 2.5cm and DE = 2.5cm, this means that these two sides are congruent.

Next, we can compare the angles by noticing that ∠C = 75⁰. Therefore, angle ∠D is also 75⁰ as the corresponding angles of congruent triangles are equal.

Thus, the angle at D, ∠D, for which △ABC is congruent to △DEF is 75⁰.