Answer:
Step-by-step explanation:
To find the unknown angle in this geometry, you must make use of several facts.
- an inscribed angle is half the measure of the arc it intercepts
- the sum of arcs of a circle is 360°
- the measure of a central angle is the same as the measure of the arc it intercepts.
__
The long arc intercepted by the inscribed 130° angle will measure 2×130° = 260°. The sum of arcs of a circle is 360°, so the short arc intercepted by the 130° angle (and by x°) is ...
x° = 360° -260° = 100°
The measure of angle x is 100°.
