Question

с Рис. 2 - На рисунке 2 изображена окружность центром в точке 0. Найдите: 1) ZBDC, если ZBAC = 50°; 2) ZBEC, если ZBOC = 80°; 3) UCE, если ZCDE = 70°; 4) ZDBA, если UDBA = 100°​

Answer 1

f-сh изабражано окружность vbhej

Answer 2

1) To find ZBDC, we need to use the property that angles in the same segment of a circle are equal. Since ZBAC is given as 50° and B and C are points on the same segment, we can conclude that ZBDC is also 50°.

2) To find ZBEC, we can use the property that the angle at the center of a circle is twice the angle at the circumference. Since ZBOC is given as 80°, we can conclude that ZBEC is half of that, which is 40°.

3) To find UCE, we need to use the property that angles in the same segment of a circle are equal. Since ZCDE is given as 70° and C and E are points on the same segment, we can conclude that UCE is also 70°.

4) To find ZDBA, we can use the property that the angle at the center of a circle is twice the angle at the circumference. Since UDBA is given as 100°, we can conclude that ZDBA is half of that, which is 50°.

Therefore, the answers are: 1) ZBDC = 50° 2) ZBEC = 40° 3) UCE = 70° 4) ZDBA = 50°.