
. У трикутнику один кут 102°, а другий у 3 менше. Знайдіть градусну міру третього кута


Ответы на вопрос

Ответ:
44
Пошаговое объяснение:
180 - 102 + 102/3 (34) = 44



Finding the measure of the third angle in a triangle
To find the measure of the third angle in a triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Let's denote the measure of the first angle as x and the measure of the second angle as x - 3. We are given that the measure of the first angle is 102 degrees.
Using the fact that the sum of the angles in a triangle is 180 degrees, we can set up the following equation:
x + (x - 3) + 102 = 180
Simplifying the equation, we get:
2x - 1 = 180
Adding 1 to both sides of the equation, we have:
2x = 181
Dividing both sides of the equation by 2, we find:
x = 90.5
Therefore, the measure of the second angle is:
90.5 - 3 = 87.5 degrees
To find the measure of the third angle, we subtract the sum of the first two angles from 180:
180 - (102 + 87.5) = 180 - 189.5 = -9.5 degrees
However, a negative angle does not make sense in this context. Therefore, it seems that there might be an error in the given information or calculation. Please double-check the values provided or the calculations made to ensure accuracy.
Please let me know if there's anything else I can help you with!


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