Question

В треугольнике АБД с основанием АД проведена биссектриса АС угла А.точка С лежит лежит на стороне БД. Чему равны углы треугольника АБД.если угол БАД равен 70 а угол АСД равен 95?

Answer 1

Ответ: ∠A = 70, ∠B = 60,∠D = 50.

Answer 2

Triangle ABD and Angle Measures

In triangle ABD, with base AD and angle bisector AC of angle A, point C lies on side BD. We are given that angle BAD is 70 degrees and angle ASD is 95 degrees. We need to determine the measures of the angles in triangle ABD.

To solve this problem, we can use the angle bisector theorem, which states that in a triangle, the angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides.

Let's denote the measure of angle ABD as x. Since angle ACB is bisected by AC, we can apply the angle bisector theorem to find the ratio of the lengths of segments BC and CD.

According to the angle bisector theorem, we have:

BC/CD = AB/AD

Substituting the given values, we have:

BC/CD = AB/AD = tan(70)/tan(95)

Now, we can solve for the ratio BC/CD using the given values and trigonometric functions. However, the given values for the angles (70 and 95 degrees) do not match any of the search snippets provided. Therefore, we cannot directly cite a specific source for this calculation