Question

Один з кутів утворених при перетині двох паралельних прямих січною дорівнює 74°. Знайти решту кутів.

Answer 1

Ответ:   4 кути   по 74, та 4 по 106

Объяснение:При перетині двох паралельних прямих третьою січною:

 

внутрішні різносторонні кути рівні;

 

відповідні кути рівні;

 

сума внутрішніх односторонніх кутів дорівнює  180° .

180-74=106

Answer 2

Finding the Remaining Angles in a Triangle

To find the remaining angles in a triangle formed by the intersection of two parallel lines, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.

Given that one of the angles formed by the intersection of the two parallel lines is 74 degrees, we can find the remaining angles as follows:

1. Let's denote the angle formed by the intersection of the two parallel lines as angle A. 2. Since the two parallel lines are intersected by a transversal, we know that angle A is also equal to the corresponding angle formed on the other side of the transversal. 3. Therefore, the remaining angles in the triangle are also equal to angle A.

To find the measure of the remaining angles, we can subtract the measure of angle A from 180 degrees and divide the result by 2, since there are two remaining angles that are equal.

Let's calculate the measure of the remaining angles:

1. Subtract the measure of angle A from 180 degrees: 180 - 74 = 106 degrees. 2. Divide the result by 2 to find the measure of each remaining angle: 106 / 2 = 53 degrees.

Therefore, the measure of each of the remaining angles in the triangle formed by the intersection of the two parallel lines is 53 degrees.

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