Question

Начертили биссектрису ВК треугольника АВС С тупым углом в 140 ГРАДУСОВ.Угол В=140 градусов Найдите градусную меру углов АВК и СВК

Answer 1

Так как ВК биссектриса угла В, то ∠АВК=∠СВК=∠В:2=140:2=70°
Ответ:∠АВК=70°; ∠АВК=70°.

Answer 2

Вот смотри: Биссектриса это середина угла Значит 140:2=70 И.к. ВК середина угла, значит АВК=СВК АВК=70° СВК=70°

Все легко и понятно))) 

Answer 3

Bisector of Angle BVC in Triangle ABC

To find the measure of angles ABV and CBV in triangle ABC, we first need to construct the bisector of angle BVC.

The bisector of an angle divides the angle into two equal parts. In this case, we want to find the bisector of angle BVC, where angle BVC is 140 degrees.

To construct the bisector, follow these steps:

1. Draw line segment BV. 2. Using point B as the center, draw an arc that intersects line segment BV on both sides. Label the points of intersection as A and C. 3. Draw line segments AB and BC.

Now, we have triangle ABC with angle BVC of 140 degrees and the bisector of angle BVC.

Finding the Measure of Angles ABV and CBV

To find the measure of angles ABV and CBV, we need to use the properties of angles formed by a bisector.

When a bisector divides an angle into two equal parts, the measure of each resulting angle is half of the original angle.

Since angle BVC is 140 degrees, the measure of angles ABV and CBV will be half of 140 degrees, which is 70 degrees.

Therefore, the measure of angles ABV and CBV in triangle ABC is 70 degrees each.

Please note that the sources provided do not contain specific information about the construction of the bisector or the measure of the angles. However, the information provided is based on the general properties of angle bisectors.