Question

What are the possible remaining angle measures in triangle abc with m,a=40dg,ac=60, and bc=45 dg

Answer 1

The possible remaining angle measures in triangle ABC can be found using the angle sum property of triangles and the Law of Cosines.

Step-by-step explanation:

The possible remaining angle measures in triangle ABC can be found using the angle sum property of triangles. The sum of the three angles in a triangle is always 180 degrees. Given that angle A is 40 degrees, we can find angle B using the triangle angle sum property: angle B = 180 - angle A - angle C. Substituting the given values, we get angle B = 180 - 40 - angle C. From the given information, we know that side AC is 60 units and side BC is 45 units. By applying the Law of Cosines, we can find angle C. Once we have angle C, we can calculate angle B. So the possible remaining angle measures in triangle ABC are:

1. Angle A = 40 degrees
2. Angle B = calculated using the angle sum property and Law of Cosines
3. Angle C = calculated using the Law of Cosines