136
136 degrees
148
DK
Providing that it's a regular 54-gon then each interior angle measures 173 and a 1/3 degrees
the answer is................. 180 degrees180 :)The 3 angles inside a triangle add up to 180 degrees.
108 ;)
108 degrees
136 degrees
148
72
DK
108
True -
false
½ the sum of the intercepted arcs.
In a circle, the measure of an angle formed by two chords that intersect at a point inside the circle is equal to the average of the measures of the arcs intercepted by the angle. If angle ABC measures 134 degrees, it means that the angle is formed by the intersection of two chords, and the measure of the arcs it intercepts will average to this angle. Thus, angle ABC is 134 degrees.
It is true that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle. When a tangent line intersects a chord of a circle, it creates an angle between the tangent line and the chord, known as the tangent-chord angle. If we draw a segment from the center of the circle to the midpoint of the chord, it will bisect the chord, and the tangent-chord angle will be formed by two smaller angles, one at each end of this segment. Now, the intercepted arc inside the tangent-chord angle is the arc that lies between the endpoints of the chord and is inside the angle. The measure of this arc is half the measure of the central angle that subtends the same arc, which is equal to the measure of the angle formed by the two smaller angles at the ends of the segment that bisects the chord. Therefore, we can conclude that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.