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Line HA is tangent to the circle If arc AB is 90 degrees and arc AG 20 degrees. What is the measure of angle 1?
35 degrees :)
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.
What is the angle between a line of a graph and a positive direction of the x-axis?
The angle is the arc-tan of the gradient of the line. That is to say, the tangent of that angle is the gradient of the line or the angle between the straight line and the positive x-axis. Arc tan may also be written as tan-1 but that is frequently confused with 1/tan or the cotangent function.
The measure of a tangent chord angle is twice the measure of the intercepted arc inside the angle?
false
What is the arc-tangent of 0.5?
arctan(0.5) in degrees = 26.6 degrees =====================================( you could call it 0.5 radians )
