Question

Луч ВК делит развёрнутый угол АВС на два угла так , что градусная мера угла АВК в 6,2 раза меньше градусной меры угла СВК . Чему равны градусные меры углов АВК и СВК. Постройте данные углы поготи пожалуйста даю много балов кто первей или правильней сделают поставлю как лучший вопрос поставлю спасибо и полностью звёздочек .Плииииз

Answer 1

Развернутый угол-180 градусов(просто прямая) х- град. мера угла АВК 6,2х- градус. мера угла СВК в сумме углы должны быть 180 градусов х+6,2х=180 7,2х=180 х=25 градусов угол АВК 180-25=155 градусов угол СВК начертить прямую, отложить угол в 25 град.,начертить луч, другой угол будет 155 градусов

Answer 2

Problem Analysis

We are given that angle AVK is 6.2 times smaller than angle SVK. We need to find the measures of angles AVK and SVK and construct these angles.

Solution

Let's assume the measure of angle SVK is x degrees. According to the given information, the measure of angle AVK is 6.2 times smaller than angle SVK. Therefore, the measure of angle AVK is (1/6.2) times the measure of angle SVK.

To find the measures of angles AVK and SVK, we need to solve the equation:

x = (1/6.2) * x

Simplifying the equation, we have:

6.2x = x

Subtracting x from both sides, we get:

5.2x = 0

Dividing both sides by 5.2, we find:

x = 0

Therefore, the measure of angle SVK is 0 degrees. Since the measure of angle SVK is 0 degrees, the measure of angle AVK is also 0 degrees.

Now, let's construct these angles.

To construct angle AVK and angle SVK, we will need a ruler and a protractor.

1. Start by drawing a line segment AB. 2. Place the protractor on point A and align the baseline of the protractor with line segment AB. 3. Mark a point C on the protractor at 0 degrees. 4. Remove the protractor and extend line segment AC. 5. Using a ruler, measure a distance of 0 units from point A and mark a point V on line segment AC. 6. Draw a line segment VK from point V at any angle. 7. Angle AVK and angle SVK are both 0 degrees.

Please note that constructing an angle with a measure of 0 degrees is not possible in practice, as it would be a straight line. However, mathematically, an angle with a measure of 0 degrees is valid.

I hope this helps! Let me know if you have any further questions.