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Find the value of x. Write your answer as a decimal.

Find the value of x. Write your answer as a decimal.-example-1
User Sniver
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1 Answer

1 vote

ANSWER


x = 75.5 \degree

Step-by-step explanation

Lines WO and WX are tangents to the circle.

The angle subtended at the center, Z by minor arc XO is the angle subtended at the circumcenter by the same arc.

Therefore the central angle is 2x°.

The two radii ZX and ZO meets the tangents at right angles.

This implies that:


2x + 90 + 90 + 29 = 360 \degree

Or


2x + 29 = 180 \degree


2x = 180 - 29


2x = 151

Divide both sides by 2


x = (151)/(2) = 75.5

User Akanevsky
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