Question

Известно, что a ∣∣ b . Найди градусные меры ∠2 и ∠7 , если ∠7−∠2=28 углы 2 и 7 односторонние .47.svg

Answer 1

Ответ:

відповідь подана на фотографії

Answer 2

Finding the Measures of Angles ∠2 and ∠7

To find the measures of angles ∠2 and ∠7, we can use the given information that a ∥ b and ∠7 - ∠2 = 28 degrees. Let's calculate the measures of these angles.

First, we need to understand the relationship between the angles formed when a transversal intersects two parallel lines.

When a transversal intersects two parallel lines, the corresponding angles are congruent. This means that if we can identify corresponding angles, we can determine their measures.

Calculating the Measure of Angle ∠2

Given that a ∥ b, we can identify the corresponding angles. Angle ∠2 is corresponding to angle ∠7, and we know that ∠7 - ∠2 = 28 degrees.

Using the property of corresponding angles, we can conclude that the measure of angle ∠2 is also 28 degrees.

Calculating the Measure of Angle ∠7

Since we already know that ∠7 - ∠2 = 28 degrees, and the measure of angle ∠2 is 28 degrees, we can calculate the measure of angle ∠7.

By adding 28 degrees to the measure of angle ∠2, we find that the measure of angle ∠7 is 56 degrees.

Therefore, the measure of angle ∠2 is 28 degrees and the measure of angle ∠7 is 56 degrees.