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What is the degree measure of arc HG?
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2 votes
What is the degree measure of arc HG?

What is the degree measure of arc HG?-example-1
User Melursus
by
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1 Answer

2 votes

Answer:

arc HG = 40°

Explanation:

The inscribed angle HFG is one half the measure of its intercepted arc, that is

3x + 2 =
(1)/(2) (5x + 10) ( multiply both sides by 2 )

6x + 4 = 5x + 10 ( subtract 5x from both sides )

x + 4 = 10 ( subtract 4 from both sides )

x = 6

Thus

arc HG = 5x + 10 = 5(6) + 10 = 30 + 10 = 40°

User RachelD
by
7.4k points
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