Question

Срочно помогите пожалуйста геометрия кому не сложно даю максимально баллов главный мозг помоги!!!!!!!! Накресліть кут АВС, який дорівнює 160º. Промені BF і ВС перпендикулярні. ВД - бісектриса кута FBC. Чому дорівнює кут ДВА?

Answer 1

Drawing Angle ABC and Finding Angle DVA

To draw angle ABC, which is equal to 160º, and find the value of angle DVA, we can follow the given conditions: - Rays BF and BC are perpendicular. - VD is the bisector of angle FBC.

Let's start by drawing angle ABC equal to 160º and then proceed to find the value of angle DVA.

Drawing Angle ABC

To draw angle ABC equal to 160º, we can use a protractor or a compass and a straightedge. First, we'll draw a ray AB, then use the protractor to measure and mark a 160º angle from point A. This will give us ray AC, forming angle ABC equal to 160º.

Finding Angle DVA

To find the value of angle DVA, we need to consider the given information: - Rays BF and BC are perpendicular. - VD is the bisector of angle FBC.

The fact that VD is the bisector of angle FBC means that angle DVF is equal to angle DVC. Since rays BF and BC are perpendicular, angle FBC is a right angle (90º). Therefore, angle DVF and angle DVC are both half of 90º, which is 45º each.

So, angle DVA equals 90º.