Question

Знайдіть суміжні кути,якщо один із них на 30° менший від іншого

Answer 1

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Answer 2

Finding the Measures of Adjacent Angles

To find the measures of adjacent angles when one angle is 30° smaller than the other, we can use the fact that adjacent angles are supplementary. In other words, the sum of the measures of adjacent angles is always 180°.

Let's denote one of the angles as x. According to the given information, the other angle is 30° larger, so we can represent it as x + 30°.

Since the sum of the measures of adjacent angles is 180°, we can set up the following equation:

x + (x + 30°) = 180°

Simplifying the equation, we have:

2x + 30° = 180°

Subtracting 30° from both sides of the equation, we get:

2x = 150°

Finally, dividing both sides of the equation by 2, we find:

x = 75°

Therefore, one of the angles measures 75°, and the other angle measures 75° + 30° = 105°.

So, the measures of the adjacent angles are 75° and 105°.