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What is the measure of angle abc in a circle 134 degrees?
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.
What is the measure of an angle formed by a tangent and a secant drawn to a circle from an external point if it intercepts arcs whose measures are 70 and 30?
20 degrees
If A tangent tangent angle intercepts two arcs that measure 135 degrees and 225 degrees what is the measure of the tangent tangent angle?
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).
Angle where the vertex is outside the circle?
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.
If arc EAB 195 degrees and arc EC 75 degrees what is the measure of angle EDC?
To find the measure of angle EDC, we can use the property that the angle formed by two tangents from a point outside a circle is half the difference of the measures of the intercepted arcs. Angle EDC intercepts arcs EAB and EC, so we calculate it as follows: Angle EDC = 1/2 (measure of arc EAB - measure of arc EC) = 1/2 (195° - 75°) = 1/2 (120°) = 60°. Thus, the measure of angle EDC is 60 degrees.
A tangent-tangent angle intercepts two arcs that measure 149 and 211 What is the measure of the tangent-tangent angle?
31 degrees
A tangent-tangent angle intercepts two arcs that measure 135 and 225 What is the measure of the tangent-tangent angle?
45 degrees
A tangent-tangent angle intercepts two arcs that measure 124 and 236 What is the measure of the tangent-tangent angle?
236-124/2=56 degrees
What is true of the type of angle in this lesson It measures half the difference of the arcs it intercepts. It measures twice the sum of the arc it intercepts. It measures half the sum of the arcs it?
It measures half the sum of the arcs it intercepts.
What is the measure of angle abc in a circle 134 degrees?
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.
What is the measure of an angle formed by a tangent and a secant drawn to a circle from an external point if it intercepts arcs whose measures are 70 and 30?
20 degrees
If A tangent tangent angle intercepts two arcs that measure 135 degrees and 225 degrees what is the measure of the tangent tangent angle?
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).
If arc EAB 195 degrees and arc EC 75 degrees what is the measure of angle EDC?
To find the measure of angle EDC, we can use the property that the angle formed by two tangents from a point outside a circle is half the difference of the measures of the intercepted arcs. Angle EDC intercepts arcs EAB and EC, so we calculate it as follows: Angle EDC = 1/2 (measure of arc EAB - measure of arc EC) = 1/2 (195° - 75°) = 1/2 (120°) = 60°. Thus, the measure of angle EDC is 60 degrees.
What is the measure of arc FE?
To determine the measure of arc FE, you would typically need information about the circle, such as the central angle that intercepts the arc or the measures of other related arcs. If given, the measure of arc FE can be directly calculated from the central angle or by using the properties of the circle. Without specific numerical values or additional context, the measure cannot be determined.
What is the relation between the arc length and angle for a sector of a circle?
A sector is the area enclosed by two radii of a circle and their intercepted arc, and the angle that is formed by these radii, is called a central angle. A central angle is measured by its intercepted arc. It has the same number of degrees as the arc it intercepts. For example, a central angle which is a right angle intercepts a 90 degrees arc; a 30 degrees central angle intercepts a 30 degrees arc, and a central angle which is a straight angle intercepts a semicircle of 180 degrees. Whereas, an inscribed angle is an angle whose vertex is on the circle and whose sides are chords. An inscribed angle is also measured by its intercepted arc. But, it has one half of the number of degrees of the arc it intercepts. For example, an inscribed angle which is a right angle intercepts a 180 degrees arc. So, we can say that an angle inscribed in a semicircle is a right angle; a 30 degrees inscribed angle intercepts a 60 degrees arc. In the same or congruent circles, congruent inscribed angles have congruent intercepted arcs.
The measure of a tangent-tangent angle is half the difference of the measures of the intercepted arcs?
True
The measure of an angle formed by intersecting chords is of the sum of the measures of the intercepted arcs?
It is the measure of half the intercepted arc.
