Answer:
Step-by-step explanation:
<u>Angles in a Circle</u>
An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.
Segments AE and DE are secants of the given circle. They form an exterior angle called AED.
The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.
Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:
Answer:
units
units
units
units
Step-by-step explanation:
A circumcenter is the point where the perpendicular bisectors of a triangle intersect.
This means
Since BC = 24 units, then BD = 12 units (half of BC).
Since FA = 8 units, AB = 16 units (twice FA).
Consider right triangle BGF. In this triangle, BF = 8 units (congruent to FA), BG = 13 units. By the Pythagorean theorem,
Triangles BFG and AFG are congruent right triangles, then BG = AG. In right triangle AGE, units,
units. By the Pythagorean theorem,