Question

Угол AOC= углу BOC=5:13 найти AOC и BOC (Смежные углы)

Answer 1

Ответ:

АОС=50°, ВОС=130°

Объяснение:

АОС+ВОС=180° (как смежные)

пусть х - коэффициент пропорционности

тогда АОС=5х, ВОС=13х

5х+13х=180°

18х=180°

х=10°

значит, АОС=50°, ВОС=130°

Answer 2

Ответ:

Решение:

1)∠1:∠2=5:13;

∠1=5x;

∠2=13x;

18x=180°;

x=180°:18;

x=10°;

2)5×10=50° - ∠1;

3)13×10=130° - ∠2;

Answer 3

Finding the Measures of AOC and BOC (Adjacent Angles)

To find the measures of angles AOC and BOC, we need to use the given ratio of 5:13. However, the search results provided do not directly address this specific problem. Therefore, we will solve it using basic trigonometric principles.

Let's assume that angle AOC has a measure of x degrees. Since angles AOC and BOC are adjacent angles, they share a common side, which is OC.

Using the given ratio of 5:13, we can set up the following equation:

x / (180 - x) = 5 / 13

To solve this equation, we can cross-multiply:

13x = 5 * (180 - x)

Simplifying further:

13x = 900 - 5x

18x = 900

x = 50

Therefore, angle AOC has a measure of 50 degrees.

To find the measure of angle BOC, we can subtract the measure of angle AOC from 180 degrees (since they are supplementary angles):

BOC = 180 - AOC

BOC = 180 - 50

BOC = 130

Therefore, angle BOC has a measure of 130 degrees.

Please note that the search results provided did not directly address this specific problem, so the solution was obtained using basic trigonometric principles.