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Determine the value of x. Question 15 options:

46°

92°

134°

23°

Determine the value of x. Question 15 options: 46° 92° 134° 23°-example-1
User Mrateb
by
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1 Answer

6 votes

Explanation:

the outer angle (46°) is half of the difference between the outer arc angle and the inner arc angle at A.

the inner arc angle is x.

the outer arc angle is therefore 360 - x.

so,

46 = ½((360 - x) - x) = ½(360 - 2x) = 180 - x

x = 180 - 46 = 134°

User Holger Brandl
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7.8k points