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Find the value of x in the diagram

Find the value of x in the diagram-example-1
User Venederis
by
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1 Answer

7 votes

Answer:

x = 21

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

User Borbulon
by
3.4k points