Question

Один из углов которые получаются при пересечении двух параллельных прямых секущей равна 72 градуса найдите остальные семь углов

Answer 1

вроде бы должно получится вот так

Answer 2

Finding the Other Seven Angles

To find the other seven angles formed by the intersection of two parallel lines and a transversal, we can use the fact that corresponding angles are congruent.

Given that one of the angles formed is 72 degrees, we can determine the measures of the other angles as follows:

1. Alternate Interior Angles: The alternate interior angles are congruent. Therefore, the angle opposite the 72-degree angle is also 72 degrees.

2. Alternate Exterior Angles: The alternate exterior angles are congruent. Therefore, the angle adjacent to the 72-degree angle on the exterior side is also 72 degrees.

3. Corresponding Angles: The corresponding angles are congruent. Therefore, the angle corresponding to the 72-degree angle on the other parallel line is also 72 degrees.

4. Vertical Angles: Vertical angles are congruent. Therefore, the angle opposite the 72-degree angle (forming an X-shape) is also 72 degrees.

5. Supplementary Angles: The sum of the measures of two supplementary angles is 180 degrees. Therefore, the angle adjacent to the 72-degree angle on the interior side is 180 - 72 = 108 degrees.

6. Complementary Angles: The sum of the measures of two complementary angles is 90 degrees. Therefore, the angle adjacent to the 72-degree angle on the interior side is 90 - 72 = 18 degrees.

7. Straight Angle: A straight angle measures 180 degrees. Therefore, the angle formed by the two parallel lines and the transversal is 180 degrees.

To summarize, the measures of the other seven angles formed by the intersection of two parallel lines and a transversal are as follows:

- Alternate Interior Angles: 72 degrees - Alternate Exterior Angles: 72 degrees - Corresponding Angles: 72 degrees - Vertical Angles: 72 degrees - Supplementary Angles: 108 degrees - Complementary Angles: 18 degrees - Straight Angle: 180 degrees

Please note that the angles mentioned above are based on the given information and the properties of parallel lines and transversals.