38,077 views
9 votes
9 votes
Find the value of x in the diagram

Find the value of x in the diagram-example-1
User FishySwede
by
3.0k points

1 Answer

26 votes
26 votes

Answer:

x = 21

Explanation:

Based on the inscribed angle theorem, we would have:

120° = 2(3x - 3)°

Solve for x

120 = 2*3x - 2*3

120 = 6x - 6

Add 6 to both sides

120 + 6 = 6x

126 = 6x

Divide both sides by 6

126/6 = x

21 = x

x = 21

User Dmitriy Zhuk
by
2.6k points