Question

Один із зовнішніх кутів трикутника дорівнює 93°. Знайдіть кути трикутника, не суміжні з ним, якщо один із них на 23° менший від другого. СРОЧНОО

Answer 1

Ответ:Сумма внутренних углов не смежных с внешним равна градусной мере внешнего угла

Угол 1. Х

Угол 2. Х+23

Х+Х+23=93

2Х=93-23

2Х=70

Х=70:2

Х=35

Угол 1 равен 35 градусов

Угол 2 равен

35+23=58 градусов

Объяснение:

Answer 2

Finding the Missing Angles of a Triangle

To find the missing angles of a triangle when one of the external angles is 93° and the non-adjacent angles differ by 23°, we can use the following approach:

1. Calculate the Other Two Angles: - The sum of the three angles in any triangle is always 180°. - We can use this fact to calculate the other two angles of the triangle.

2. Determine the Non-Adjacent Angles: - Once we have the values of the other two angles, we can identify the non-adjacent angles by comparing their values and finding the pair that differs by 23°.

Let's proceed with the calculations.

Calculation

Given: - One of the external angles of the triangle = 93°

We know that the sum of all three angles in a triangle is 180°. Therefore, we can calculate the other two angles using this information.

Let's denote the three angles of the triangle as A, B, and C, where angle A is the external angle of 93°.

We can use the fact that the sum of the angles in a triangle is 180° to find the other two angles:

A + B + C = 180°

Substituting the value of A (93°):

93° + B + C = 180° B + C = 180° - 93° B + C = 87°

Now, we need to find the non-adjacent angles, B and C, where the difference between them is 23°.

Let's assume that angle B is the larger angle and angle C is the smaller angle.

Given: B - C = 23°

We have a system of two equations: 1. B + C = 87° 2. B - C = 23°

Solving this system of equations will give us the values of angles B and C.

Solution

After solving the system of equations, we find that: - Angle B = 55° - Angle C = 32°

Therefore, the non-adjacent angles of the triangle, not adjacent to the external angle of 93°, are 55° and 32°.

This completes the calculation for finding the missing angles of the triangle. If you have any further questions or need additional assistance, feel free to ask!