Question

ПОМОГИТЕ СРОЧНО! НУЖНО СЕГОДНЯ! Хорда АВ стягивает дугу, равную 115 градусов, а хорда АС дугу в 43 градуса. Найдите угол ВАС.

Answer 1

Дуга AB=115, AC=43
всего 360
Дуга CB=360-43-115=202
угол BAC =1/2 дуги СВ, значит ВАС=101 град
Ответ: 101 

Answer 2

Finding Angle VAS

To find the angle VAS, we can use the properties of inscribed angles in a circle. The measure of an inscribed angle is half the measure of the intercepted arc. Given that chord AV spans an arc of 115 degrees and chord AS spans an arc of 43 degrees, we can calculate the angle VAS using the following steps:

1. Calculate the measure of arc VS: - The measure of arc VS is the sum of the measures of arcs VA and AS. - Arc VA = 115 degrees - Arc AS = 43 degrees - Therefore, arc VS = 115 + 43 = 158 degrees.

2. Calculate the angle VAS: - The measure of angle VAS is half the measure of arc VS. - Angle VAS = 1/2 * 158 = 79 degrees.

Therefore, the angle VAS is 79 degrees.