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307
10°
=X
please help


307 10 X Please Help class=

Sagot :

Answer: 140

Step-by-step explanation:

The measure of the other arc, say y, enclosed by the two secants can be found by:

[tex]\frac{1}{2}(30^{\circ}-y^{\circ})=10^{\circ}\\30^{\circ}-y^{\circ}=20^{\circ}\\y=10^{\circ}[/tex]

So the measure of the 30-degree arc, y, and X is 180 degrees (since it's half of the circumference). This means X = 180 - 30 - 10 = 140.