Question

Найдите смежные углы если: 1) один из его углов в 17 раз больше второго 2) их градусные меры относятся как 19:26

Answer 1

1)  α+17α=180       18α=180       α=10 градусов   β=170 градусов
2)  19+26=45 частей, 1 часть равна 180:45=4 градуса
α=4·19=76 градусов   β=4·26=104 градуса

Answer 2

Finding the Measures of Adjacent Angles

To find the measures of adjacent angles given the following conditions: 1) One angle is 17 times larger than the other angle. 2) The degree measures of the angles are in a ratio of 19:26.

Let's denote the smaller angle as x. According to the first condition, the larger angle is 17 times larger, so we can express it as 17x.

According to the second condition, the degree measures of the angles are in a ratio of 19:26. This means that the ratio of the smaller angle to the larger angle is 19:26. We can set up the following equation:

x / (17x) = 19 / 26

To solve this equation, we can cross-multiply:

26x = 19 * 17x

Simplifying further:

26x = 323x

Dividing both sides by x:

26 = 323

This equation is not true for any value of x, which means there is no solution that satisfies both conditions. Therefore, it is not possible to find the measures of the adjacent angles given the conditions provided.

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