Question

1)найди 10 пар углов , которые в сумме составляют 180° .

Answer 1

10 и 170
20 и 160
30 и 150
40 и 140
50 и 130
60 и 120
70 и 110
80 и 100
90 и 90
5 и 175

Answer 2

Finding 10 pairs of angles that add up to 180°

To find 10 pairs of angles that add up to 180°, we can consider different types of angles, such as complementary angles, supplementary angles, and angles formed by intersecting lines. Here are 10 pairs of angles that add up to 180°:

1. Complementary angles: Complementary angles are two angles that add up to 90°. Therefore, if we take two complementary angles, their sum will be 180°. For example, angles measuring 30° and 60° are complementary angles, and their sum is 90°.

2. Supplementary angles: Supplementary angles are two angles that add up to 180°. Therefore, if we take two supplementary angles, their sum will be 180°. For example, angles measuring 120° and 60° are supplementary angles, and their sum is 180°.

3. Vertical angles: Vertical angles are formed by the intersection of two lines. They are opposite to each other and have equal measures. Therefore, if we take two vertical angles, their sum will be 180°. For example, if one angle measures 80°, the other angle will also measure 80°, and their sum will be 160°.

4. Adjacent angles: Adjacent angles are two angles that share a common vertex and a common side. The sum of adjacent angles can be 180° if they form a straight line. For example, if one angle measures 100°, the adjacent angle will measure 80°, and their sum will be 180°.

5. Alternate interior angles: Alternate interior angles are formed when a transversal intersects two parallel lines. They are located on opposite sides of the transversal and inside the two parallel lines. Alternate interior angles are congruent, which means they have equal measures. Therefore, if we take two alternate interior angles, their sum will be 180°.

6. Alternate exterior angles: Alternate exterior angles are formed when a transversal intersects two parallel lines. They are located on opposite sides of the transversal and outside the two parallel lines. Alternate exterior angles are congruent, which means they have equal measures. Therefore, if we take two alternate exterior angles, their sum will be 180°.

7. Corresponding angles: Corresponding angles are formed when a transversal intersects two parallel lines. They are located on the same side of the transversal and in corresponding positions. Corresponding angles are congruent, which means they have equal measures. Therefore, if we take two corresponding angles, their sum will be 180°.

8. Interior angles of a triangle: The sum of the interior angles of a triangle is always 180°. Therefore, if we take three interior angles of a triangle, their sum will be 180°.

9. Exterior angle of a triangle: The exterior angle of a triangle is formed by extending one side of the triangle. The measure of the exterior angle is equal to the sum of the two non-adjacent interior angles of the triangle. Therefore, if we take one exterior angle of a triangle and the two non-adjacent interior angles, their sum will be 180°.

10. Angles on a straight line: Angles on a straight line add up to 180°. Therefore, if we take any two angles on a straight line, their sum will be 180°.

Please note that these are just examples of pairs of angles that add up to 180°. There are many more possibilities depending on the specific angles and their relationships.

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