20 degrees
196-164/2= 16
True. The measure of a tangent-tangent angle is indeed half the difference of the measures of the intercepted arcs. This theorem applies to angles formed outside a circle by two tangents that intersect at a point, providing a relationship between the angle and the arcs it intercepts.
The tangent-tangent angle is formed by two tangents drawn from a point outside a circle to points on the circle. To find the measure of the tangent-tangent angle, you take half the difference of the intercepted arcs. In this case, the arcs measure 135 degrees and 225 degrees. Therefore, the measure of the tangent-tangent angle is (\frac{1}{2} (225^\circ - 135^\circ) = \frac{1}{2} (90^\circ) = 45^\circ).
In a circle, the measure of an angle formed by a chord and a tangent at a point on the circle is half the measure of the intercepted arc. Since segment DC is a diameter, angle DAB is an inscribed angle that intercepts arc DB. Therefore, the measure of arc DB is twice the measure of angle DAB, which is 68 degrees. Since arc BC is the remainder of the circle, arc BC measures 360 degrees - 68 degrees = 292 degrees.
150
31 degrees
45 degrees
196-164/2= 16
236-124/2=56 degrees
True. The measure of a tangent-tangent angle is indeed half the difference of the measures of the intercepted arcs. This theorem applies to angles formed outside a circle by two tangents that intersect at a point, providing a relationship between the angle and the arcs it intercepts.
True
The tangent-tangent angle is formed by two tangents drawn from a point outside a circle to points on the circle. To find the measure of the tangent-tangent angle, you take half the difference of the intercepted arcs. In this case, the arcs measure 135 degrees and 225 degrees. Therefore, the measure of the tangent-tangent angle is (\frac{1}{2} (225^\circ - 135^\circ) = \frac{1}{2} (90^\circ) = 45^\circ).
tangant of circle intercepts it only on one point. In real the point where tangent meets the circle and intercepts it are same
An external tangent is a line that is tangent to both circles but does not pass between them.
In a circle, the measure of an angle formed by a chord and a tangent at a point on the circle is half the measure of the intercepted arc. Since segment DC is a diameter, angle DAB is an inscribed angle that intercepts arc DB. Therefore, the measure of arc DB is twice the measure of angle DAB, which is 68 degrees. Since arc BC is the remainder of the circle, arc BC measures 360 degrees - 68 degrees = 292 degrees.
150
When the vertex of an angle is located outside a circle, the measure of the angle is determined by the difference of the measures of the intercepted arcs. Specifically, if the angle intercepts arcs A and B, the angle's measure can be calculated using the formula: (\text{Angle} = \frac{1}{2} (m\overarc{A} - m\overarc{B})), where (m\overarc{A}) and (m\overarc{B}) are the measures of the intercepted arcs. This relationship holds true for both secant and tangent lines that intersect the circle.