In triangle ABC, angle A = 48 degrees, angle C = 62. On the continuation of side AB

In triangle ABC, angle A = 48 degrees, angle C = 62. On the continuation of side AB beyond point B, there is a segment BD equal to side BC. Find angle D of triangle BCD.

When considering the triangle ABC, you can calculate the degree measure of the angle B, which is defined as:

angle B = 180 – angle A – angle C;

angle B = 180 – 48 – 62 = 70 degrees.

The triangle BCD constructed by condition is isosceles, since the deferred segment BD is equal to the side BC. In this triangle, the obtuse angle B is known and it is necessary to calculate two equal angles D and C:

angle D = angle C = (180 – angle B) / 2;

angle D = angle C = (180 – 70) / 2 = 55 degrees.

Answer: The angle D of triangle BCD is 55 degrees.