Question

70®. У трикутнику два кути дорівнюють 70° і 80°. Знайдіть кут між прямими, яким належать висоти цих кутів. будь ласка розв'яжіть на листочку і накресліть і розв'яжіть ​

Answer 1

Ответ: 150°  или острый угол 30°

Объяснение: см файл

Answer 2

To find the angle between the lines to which the altitudes of the given angles belong, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Let's assume that the two angles in the triangle are A and B, with measures of 70° and 80° respectively. We want to find the angle between the lines to which the altitudes of these angles belong.

Step 1:

First, let's find the third angle in the triangle. Since the sum of the angles in a triangle is 180 degrees, we can subtract the measures of angles A and B from 180 to find the measure of the third angle.

The measure of the third angle = 180° - 70° - 80° = 30°.

Step 2:

Next, let's consider the triangle formed by the altitudes of the given angles. In this triangle, the three angles will add up to 180 degrees as well.

Let's label the angles in this triangle as X, Y, and Z. Angle X corresponds to the angle between the lines to which the altitudes of angles A and B belong.

We know that angle X + angle Y + angle Z = 180°.

Step 3:

Now, let's find the measures of angles Y and Z in the triangle formed by the altitudes.

Since angle Y is the same as angle A (70°) and angle Z is the same as angle B (80°), we can substitute these values into the equation:

X + 70° + 80° = 180°.

Simplifying the equation, we have:

X + 150° = 180°.

Step 4:

To find the value of angle X, we can subtract 150° from both sides of the equation:

X = 180° - 150° = 30°.

Therefore, the angle between the lines to which the altitudes of the given angles belong is 30 degrees.

Please note that this solution assumes that the given triangle is a non-right triangle. If the triangle is a right triangle, the solution may be different.

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