Question

Прямые а и б пересекаются в точке а. а) сумма градусных мер 2х образовавшихся углов =104°.вычеслить градусные меры образовавшихся углов.б) через точку А проведена прямая С перпендикулярная прямой а. вычеслить градусную меру большего из образовавшихся острых углов помогите пожалуйста!! 35 БАЛЛОВ!!! ​

Answer 1

а)сумма вертикальных углов = 104°

(Потому что сумма смежных углов =180°)

104°÷2=52°(один из углов)

А другой угол-

180°-52°=128°(другой угол)

Ответ:52°,52°,128°,128°

б) Одна сторона-90°, часть смежного

угла -52° , найдем другую часть смежного угла.

180°-90°=90°

90°-52°=38°

Ну ответ:38°

Answer 2

Question Analysis

The question consists of two parts: a) Two lines, a and b, intersect at point A. The sum of the degree measures of the two angles formed is 104°. We need to calculate the degree measures of the two angles. b) A line C is drawn through point A perpendicular to line a. We need to calculate the degree measure of the larger acute angle formed.

Answer

a) To calculate the degree measures of the two angles formed by lines a and b, we can use the fact that the sum of the angles formed at a point is 180°. Since the sum of the degree measures of the two angles is given as 104°, we can set up the following equation:

x + y = 104°

where x and y are the degree measures of the two angles.

To solve for x and y, we need another equation. Since lines a and b intersect at point A, the angles formed are vertical angles, which are congruent. Therefore, we can set up the following equation:

x = y

Now we have a system of equations:

x + y = 104° x = y

We can solve this system of equations by substitution. Substituting the value of x from the second equation into the first equation, we get:

y + y = 104° 2y = 104° y = 52°

Substituting this value of y back into the second equation, we get:

x = 52°

Therefore, the degree measures of the two angles formed are 52° each.

b) To calculate the degree measure of the larger acute angle formed by line C and line a, we need to use the fact that perpendicular lines form right angles, which have a measure of 90°. Since line C is perpendicular to line a, the angle formed between them is a right angle.

Therefore, the degree measure of the larger acute angle formed is 90°.