Question

Аватар пользователя verasolodova20 больший угол из двух смежных углов имеет меру 140°. Сделайте чертёж и вычислите меры углов, на которые биссектриса делит меньший из этих смежных углов !!!

Answer 1

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Answer 2

Problem Analysis

The user is asking for a detailed explanation and a drawing of a situation where one of two adjacent angles measures 140°. They also want to know the measures of the angles that the bisector divides the smaller of these adjacent angles into.

Solution

To solve this problem, we can start by drawing two adjacent angles, one larger than the other, with a measure of 140° for the larger angle. Let's call the larger angle A and the smaller angle B.

Drawing

Here is a simple drawing to illustrate the situation:

     B
   /   \
  /     \
 /       \
/_________\
    A

Calculation

Now, let's calculate the measures of the angles that the bisector divides the smaller angle into.

The bisector divides angle B into two equal angles. Let's call these angles C and D.

Since the bisector divides angle B into two equal angles, we can say that angle C is equal to angle D.

Let's assume that angle C and angle D both have a measure of x.

So, we have the following equation:

x + x + 140° = 180°

Simplifying the equation:

2x + 140° = 180°

Subtracting 140° from both sides:

2x = 40°

Dividing both sides by 2:

x = 20°

Therefore, angle C and angle D both have a measure of 20°.

Conclusion

In conclusion, when one of two adjacent angles measures 140°, the bisector divides the smaller angle into two angles of 20° each.

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