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3 years ago

Find the value of x in the diagram

Mathematics

1 answer:

IRISSAK [1]3 years ago

7 0

Answer:

x = 21

Step-by-step explanation:

Inscribed angle = (3x - 3)°

Intercepted arc measure = 120°

Thus:

(3x - 3)° = ½(120°) => an inscribed angle of any circle = ½ the measure of its intercepted arc.

Multiply both sides by 2

2(3x - 3) = 120

6x - 6 = 120

6x - 6 + 6 = 120 + 6

6x = 126

6x/6 = 126/6

x = 21

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