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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.


True or false The measure of a tangent-tangent angle is half the difference of the measures of the intercepted arcs.?

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.


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.

Related Questions

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.


True or false The measure of a tangent-tangent angle is half the difference of the measures of the intercepted arcs.?

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.


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.


What is the measure of an angle formed by is half the sum of the measures of the intercepted arcs.?

The measure of an angle formed by two intersecting chords in a circle is equal to half the sum of the measures of the intercepted arcs. This means that if two arcs, ( A ) and ( B ), are intercepted by the angle, the angle's measure can be calculated using the formula: ( \text{Angle} = \frac{1}{2} (mA + mB) ), where ( mA ) and ( mB ) are the measures of the intercepted arcs. This relationship helps in solving various problems involving angles and arcs in circle geometry.


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.