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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.
Does a rhombus has obtuse angles?
Yes. Two obtuse angles, of equal measure.Yes. Two obtuse angles, of equal measure.Yes. Two obtuse angles, of equal measure.Yes. Two obtuse angles, of equal measure.
Is Each of the interior angles in a polygon are equal in measure.?
Only when it is a regular polygon that all interior angles are of equal measure
How are the measure of the angles related when parallel lines are cut by a transversal?
corresponding angles are equal and alternate angles are equal
What are characteristics about corresponding angles?
They have equal measure.
What measure of a intercepted arc?
Examples to show how to use the property that the measure of a central angle is equal to the measure of its intercepted arc to find the missing measures of arcs and angles in given figures.
What is a central angle and what is the relationship of the central angle and the intercepted arc?
In a circle, a central angle is formed by two radii. By definition, the measure of the intercepted arc is equal to the central angle.
What is the measure of an octagon's central angle?
All of the central angles in any polygon add up to 360 degrees.If the octogon is regular ... all of its central angles are equal ...then each of them is 45 degrees.
If a circle is divided into 5 sections by 5 radii and each of the central angles formed are of equal measure what is the measure of each central angle?
72 degrees 72 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.
Does a rhombus has obtuse angles?
Yes. Two obtuse angles, of equal measure.Yes. Two obtuse angles, of equal measure.Yes. Two obtuse angles, of equal measure.Yes. Two obtuse angles, of equal measure.
Is it true or false that the measure of a tangent-chord angle is twice the measure of the intercepted arc inside the angle?
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.
Is Each of the interior angles in a polygon are equal in measure.?
Only when it is a regular polygon that all interior angles are of equal measure
It has four angles that are equal in measure and four sides that are equal in measure?
A square
How are the measure of the angles related when parallel lines are cut by a transversal?
corresponding angles are equal and alternate angles are equal
What kind of triangle has two angles of equal measure?
An isosceles triangle has two equal angles.
If two angles have the same angle measure then they are said to be .?
Congruent angles (or equivalent angles) have the same angle measure.
