Question

307
10°
=X
please help

Answer 1

Answer: 140

Explanation:

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

`(1)/(2)(30^(\circ)-y^(\circ))=10^(\circ)\\30^(\circ)-y^(\circ)=20^(\circ)\\y=10^(\circ)`

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.