islam313
islam313 islam313
  • 25-07-2019
  • Mathematics
contestada

In the diagram of circle o, what is the measure of ZABC?
O 30°
O 40°
O 50°
O 60

In the diagram of circle o what is the measure of ZABC O 30 O 40 O 50 O 60 class=

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 04-08-2019

Answer:

30°

Step-by-step explanation:

Line AB and BC are tangents to the given circle.

[tex] \angle \: ABC = \frac{1}{2} ( 210 - 150)[/tex]

[tex] \angle \: ABC = \frac{1}{2} (60) = 30 \degree[/tex]

Alternatively, <ABC and <AOC are supplementary because AB and BC are tangents.

[tex] \angle \: ABC + 150 \degree = 180 \degree[/tex]

[tex] \angle \: ABC = 180 \degree - 150 \degree = 30 \degree[/tex]

The correct choice is A.

Answer Link
keelyallen2003 keelyallen2003
  • 14-04-2020

Answer:30

Step-by-step explanation:

Answer Link

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