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What’s the value of x

What’s the value of x-example-1

1 Answer

4 votes

Answer:

x = 2

Explanation:

According to the inscribed Angle Theorem, the size of an inscribed angle = ½(measure of the intercepted arc)

m<L = (7x + 9)° is an inscribed angle

m(KM) = 46° is its intercepted arc

Therefore:

7x + 9 = ½(46)

Multiply both sides by 2

2(7x + 9) = 46

14x + 18 = 46

14x + 18 - 18 = 46 - 18

14x = 28

14x/14 = 28/14

x = 2

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